prof. dr. sc. Mario Krnić

Full professor, Department of Applied Mathematics

Location:
Public phone number:
6129-965
Internal phone number:
465
  Author's books
 

1. Batbold, Tserendorj; Krnić, Mario; Pečarić, Josip; Vuković, Predrag.
Further Development of Hilbert-type Inequalities .
Zagreb : Element, 2017 (monograph).

2. Krnić, Mario; Lovričević, Neda; Pečarić, Josip; Perić, Jurica.
Superadditivity and monotonicity of the Jensen-type functionals (New methods for improving the Jensen-type inequalities in real and in operator cases) .
Zagreb : Element, 2015 (monograph).

3. Krnić, Mario; Pečarić, Josip; Perić, Ivan; Vuković, Predrag.
Recent Advances in Hilbert-type Inequalities .
Zagreb : Element, 2012 (monograph).

4. Hanjš, Željko; Krnić, Mario.
Mathematical Competitions 2008./2009. .
Zagreb : Element d.o.o., 2010 (proceedings).

5. Hanjš, Željko; Krnić, Mario.
Mathematical Competitions 2007/2008 .
Zagreb : Element d.o.o.,, 2009. (proceedings).

6. Hanjš, Željko; Krnić, Mario.
Mathematical Competitions 2006/2007 .
Zagreb : Element i Hrvatsko matematičko društvo, 2008. (proceedings).

7. Balagović, Martina; Hanjš, Željko; Krnić, Mario.
Mathematics competitions 2005/2006 .
Zagreb : Element, 2007 (proceedings).

8. Hanjš, Željko; Kovač, Vjekoslav; Krnić, Mario.
Mathematical Competitions 2004/2005 .
Zagreb : Element, Zagreb ; Hrvatsko matematičko društvo, 2006 (proceedings).

9. Krnić, Mario.
The pigenhole principle .
Zagreb : Hrvatsko matematičko društvo, 2001 (handbook).
 
  Textbooks and scripts
 

1. Burić, Tomislav; Korkut, Luka; Krnić, Mario; Milišić, Josipa Pina; Pašić, Mervan.
Mathematics 3, Vector analysis .
Zagreb : Element, 2010.
 
  Journal articles and review articles in CC journals
 

1. Batbold, Tserendorj; Azar, Laith. E.; Krnić, Mario.
A unified treatment of Hilbert-Pachpatte-type inequalities for a class of non-homogeneous kernels. // Applied mathematics and computation. 343 (2019) , 4; 167-182 (journal article).

2. Batbold, Tserendorj; Krnić, Mario; Vuković, Predrag.
A unified approach to fractal Hilbert-type inequalities. // Journal of inequalities and applications. 2019:117 (2019) ; (journal article).

3. Krnić, Mario; Mikić, Rozarija; Pečarić, Josip.
Double precision of the Jensen-type operator inequalities for bounded and Lipschitzian functions. // Aequationes mathematicae. 93 (2019) , 4; 669-690 (journal article).

4. Batbold, Tserendorj; Krnić, Mario; Pečarić, Josip.
More accurate Hilbert-type inequalities in a difference form. // Results in mathematics. 73 (2018) , 3; (journal article).

5. Choi, Daeshik; Krnić, Mario; Pečarić, Josip.
Improved Jensen-type inequalities via linear interpolation and applications. // Journal of Mathematical Inequalities. 11 (2017) , 2; 301-322 (journal article).

6. Krnić, Mario; Vuković, Predrag.
A class of Hilbert-type inequalities obtained via the improved Young inequality. // Results in mathematics. 71 (2017) , 1; 185-196 (journal article).

7. Adiyasuren, Vandanjav; Batbold, Tserendorj; Krnić, Mario.
Multiple Hilbert-type inequalities involving some differential operators. // Banach Journal of Mathematical Analysis. 10 (2016) , 2; 320-337 (journal article).

8. Bakherad, Mojtaba; Krnić, Mario; Moslehian, Mohammad Sal.
Reverse Young-type inequalities for matrices and operatorss. // The Rocky Mountain journal of mathematics. 46 (2016) , 4; 1089-1105 (journal article).

9. Krnić, Mario.
More accurate Young, Heinz, and Holder inequalities for matrices. // Periodica mathematica Hungarica. 71 (2015) , 1; 78-91 (journal article).

10. Krnić, Mario; Lovričević, Neda; Pečarić, Josip.
Superadditivity of the Levinson functional and applications. // Periodica mathematica Hungarica. 71 (2015) , 2; 166-178 (journal article).

11. Adiyasuren, Vandanjav; Batbold, Tserendorj; Krnić, Mario.
Half-discrete Hilbert-type inequalities with mean operators, the best constants, and applications. // Applied mathematics and computation. 231 (2014) ; 148-159 (journal article).

12. Adiyasuren, Vandanjav; Batbold, Tserendorj; Krnić, Mario.
Half-discrete Hilbert-type inequalities involving differential operators. // Journal of inequalities and applications. (2014) ; 83-1-83-12 (journal article).

13. Jakšić, Rozarija; Krnić, Mario; Pečarić, Josip.
More precise estimates for the Jensen operator inequality obtained via the Lah-Ribarič inequality. // Applied mathematics and computation. 249 (2014) ; 346-355 (journal article).

14. Krnić, Mario; Pečarić, Josip.
On more accurate Hilbert-type inequalities in finite measure spaces. // Collectanea mathematica. 65 (2014) , 1; 143-154 (journal article).

15. Krnić, Mario; Pečarić, Josip.
More accurate weak majorization relations for the Jensen and some related inequalities. // Linear algebra and its applications. 458 (2014) ; 573-588 (journal article).

16. Krnić, Mario; Vuković, Predrag.
On a more accurate class of discrete Hilbert-type inequalities. // Applied mathematics and computation. 234 (2014) ; 543-547 (journal article).

17. Adiyasuren, Vandanjav; Batbold, Tserendorj; Krnić, Mario.
On several new Hilbert-type inequalities involving means operators. // Acta mathematica sinica-english series. 29 (2013) , 8; 1493-1514 (journal article).

18. Hirzallah, Omar; Kittaneh, Fuad; Krnić, Mario; Lovričević, Neda; Pečarić, Josip.
Refinements and reverses of means inequalities for Hilbert space operators. // Banach Journal of Mathematical Analysis. 7 (2013) , 2; 15-29 (journal article).

19. Kittaneh, Fuad; Krnić, Mario.
Refined Heinz operator inequalities. // Linear and multilinear algebra. 61 (2013) , 8; 1148-1157 (journal article).

20. Krnić, Mario; Lovričević, Neda; Pečarić, Josip.
On the properties of McShane's functional and their applications. // Periodica mathematica Hungarica. 66 (2013) , 2; 159-180 (journal article).

21. Krnić, Mario; Pečarić, Josip.
Improved Heinz inequalities via the Jensen functional. // Central European Journal of Mathematics. 11 (2013) , 9; 1698-1710 (journal article).

22. Krnić, Mario; Pečarić, Josip; Vuković, Predrag.
A unified treatment of half-discrete Hilbert-type inequalities with a homogeneous kernel. // Mediterranean journal of mathematics. 10 (2013) , 4; 1697-1716 (journal article).

23. Bicheng, Yang; Krnić, Mario.
A Half-Discrete Hilbert-Type Inequality with a General Homogeneous Kernel of Degree 0. // Journal of Mathematical Inequalities. 6 (2012) , 3; 401-417 (journal article).

24. Butt, Saad Ihsan; Krnić, Mario; Pečarić, Josip.
Superadditivity, monotonicity and exponential convexity of the Petrovic-type functionals. // Abstract and applied analysis. 2012 (2012) ; 123913-1-123913-21 (journal article).

25. Hirzzalah, Omar; Kittaneh, Fuad; Krnić, Mario; Lovričević, Neda; Pečarić, Josip.
Eigenvalue inequalities for differences of means of Hilbert space operators. // Linear algebra and its applications. 436 (2012) , 5; 1516-1527 (journal article).

26. Krnić, Mario.
Multidimensional Hilbert-type inequality on the weighted Orlicz spaces. // Mediterranean Journal of Mathematics. 9 (2012) , 4; 883-895 (journal article).

27. Krnić, Mario.
A refined discrete Hilbert inequality via the Hermite-Hadamard inequality. // Computers & mathematics with applications. 63 (2012) , 12; 1587-1596 (journal article).

28. Krnić, Mario; Lovričević, Neda; Pečarić, Josip.
Multidimensional Jensen's operator on a Hilbert space and applications. // Linear algebra and its applications. 436 (2012) , 7; 2583-2596 (journal article).

29. Krnić, Mario; Lovričević, Neda; Pečarić, Josip.
On some properties of Jensen-Mercer's functional. // Journal of Mathematical Inequalities. 6 (2012) , 1; 125-139 (journal article).

30. Krnić, Mario; Pečarić, Josip.
A Hilbert inequality and an Euler-Maclaurin summation formula. // Anziam Journal. 48 (2007) , Part 3; 419-431 (journal article).

31. Krnić, Mario; Pečarić Josip.
Extension of Hilbert's inequality. // Journal of Mathematical Analysis and Applications. 324 (2006) , 1; 150-160 (journal article).
 
  Papers accepted for publication in the cc journals
 

1. Krnić, Mario; Mikić, Rozarija; Pečarić, Josip.
Mutual bounds for Jensen-type operator inequalities related to higher order convexity. // Aequationes mathematicae. (2018/2019) (accepted for publication).

2. Saker, Samir. H; Krnić, Mario; Pečarić, Josip.
Higher summability theorems from the weighted reverse discrete inequalities. // Applicable Analysis and Discrete Mathematics. (2019) (accepted for publication).

3. Saker, Samir H.; Osman, Mahmoud M.; Krnić, Mario.
Higher integrability theorems on time scales from reverse Holder's inequalities. // Applicable Analysis and Discrete Mathematics. (2019) (accepted for publication).
 
  Scientific papers in other journals
 

1. Saker, Samir; Rezk, Haytham; Krnić, Mario.
More accurate dynamic Hardy-type inequalities obtained via superquadraticity. // Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas. 113 (2019) , 3; 2691-2713 (journal article).

2. Bakherad, Mojtaba; Kian, Mohsen; Krnić, Mario; Ahmadi, Seyyed Alireza.
Interpolating Jensen-type operator inequalities for log-convex and superquadratic functions. // Filomat. 32 (2018) , 13; 4523-4535 (journal article).

3. Choi, Daeshik; Krnić, Mario; Pečarić, Josip.
More accurate classes of Jensen-type inequalities for convex and operator convex functions. // Mathematical Inequalities & Applications. 21 (2018) , 2; 301-321 (journal article).

4. Krnić, Mario; Pečarić, Josip; Rodić, Mirna.
More accurate Jensen-type inequalities for signed measures characterized via Green function and applications. // Turkish Journal of Mathematics. 41 (2017) , 6; 1482-1496 (journal article).

5. Jakšić, Rozarija; Krnić, Mario; Pečarić, Josip.
More accurate converses of the Jensen and the Lah-Ribarič operator inequality. // Annals of the Alexandru Ioan Cuza University - Mathematics. LXII (2016) , 2; 553-562 (journal article).

6. Krnić, Mario; Mikić, Rozarija; Pečarić, Josip.
Strengthened converses of the Jensen and Edmundson-Lah-Ribarič inequalities. // Advances in Operator Theory. 1 (2016) , 1; 104-122 (journal article).

7. Adiyasuren, Vandanjav; Batbold, Tserendorj; Krnić, Mario.
The best constants in multidimensional Hilbert-type inequalities involving some weighted means operators. // Bulletin of the Malaysian Mathematical Sciences Society. 38 (2015) , 3; 1001-1022 (journal article).

8. Adiyasuren, Vandanjav; Batbold, Tserendorj; Krnić, Mario.
Hilbert-type inequalities involving differential operators, the best constants, and applications. // Mathematical inequalities & applications. 18 (2015) , 1; 111-124 (journal article).

9. Jakšić, Rozarija; Krnić, Mario; Pečarić, Josip.
On some new converses of the Jensen and the Lah-Ribarič operator inequality. // Hacettepe Journal of Mathematics and Statistics. 44 (2015) , 5; 1045-1055 (journal article).

10. Aglić Aljinović, Andrea; Krnić, Mario; Pečarić, Josip.
Weighted Montgomery identity for fractional integral of a function with respect to another function. // Georgian mathematical journal. 21 (2014) , 1; 1-10 (journal article).

11. Krnić, Mario.
On a strengthened multidimensional Hilbert-type inequality. // Mathematica slovaca. 64 (2014) , 5; 1165-1182 (journal article).

12. Yang, Bicheng; Krnić, Mario.
A half-discrete version of the Mulholland inequality. // Mathematical reports. 66 (2014) , 2; 163-174 (journal article).

13. Čižmešija, Aleksandra; Krnić, Mario.
A strengthened form of a general Hardy-type inequality obtained via superquadraticity and its applications. // International journal of pure and applied mathematics. 86 (2013) , 2; 257-282 (journal article).

14. Krnić, Mario.
Hilbert-type inequalities for Hilbert space operators. // Quaestiones Methematicae. 36 (2013) , 2; 209-223 (journal article).

15. Krnić, Mario; Vuković, Predrag.
On some multidimensional Hilbert-type inequalities in a discrete case. // Ukrainian mathematical journal. 65 (2013) , 6; 802-813 (journal article).

16. Kittaneh, Fuad; Krnić, Mario; Lovričević, Neda; Pečarić, Josip.
Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators. // PUBLICATIONES MATHEMATICAE-DEBRECEN. 80 (2012) , 3-4; 465-478 (journal article).

17. Krnić, Mario.
On some refinements and converses of multidimensional Hilbert-type inequalities. // BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY. 85 (2012) , 3; 380-394 (journal article).

18. Krnić, Mario.
On the multidimensional Hilbert-type inequalities involving the Hardy operator. // Filomat. 26 (2012) , 4; 845-857 (journal article).

19. Krnić, Mario; Lovričević, Neda; Pečarić, Josip.
Jensen's Operator and Applications to Mean Inequalities for Operators in Hilbert Space. // Bulletin of the Malaysian Mathematical Sciences Society. 35 (2012) , 1; 1-14 (journal article).

20. Krnić, Mario; Lovričević, Neda; Pečarić, Josip.
Jessen's functional, its properties and applications. // Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica. 20 (2012) , 1; 225-248 (journal article).

21. Krnić, Mario; Vuković, Predrag.
On a multidimensional version of the Hilbert-type inequality. // Analysis Mathematica. 38 (2012) , 4; 291-303 (journal article).

22. Bicheng, Yang; Krnić, Mario.
On the norm of a multidimensional Hilbert-type operator. // Sarajevo journal of mathematics. 7 (2011) , 2; 223-243 (journal article).

23. Čižmešija, Aleksandra; Krnić, Mario; Pečarić, Josip.
General Hardy-type inequalities with non-onjugate exponents. // Bulletin of the Iranian Mathematical Society. 37 (2011) , 3; 77-108 (journal article).

24. Krnić, Mario; Lovričević, Neda; Pečarić, Josip.
On Some Properties of Jensen-Steffensen's Functional. // Annals of the University of Craiova-Mathematics and Computer Science Series. 38 (2011) , 2; 43-54 (journal article).

25. Krnić, Mario; Pečarić, Josip; Vuković, Predrag.
Discrete Hilbert-type inequalities with general homogeneous kernels. // Rendiconti del Circolo Matematico di Palermo. 60 (2011) , 1-2; 161-171 (journal article).

26. Bicheng Yang; Krnić, Mario.
Hilbert-type inequalities and related operators with homogeneous kernel of degree 0. // Mathematical inequalities & applications. 13 (2010) , 4; 817-839 (journal article).

27. Krnić, Mario.
Hilbert inequality and Gaussian hypergeometric functions. // Journal of mathematical inequalities. 3 (2009) , 4; 645-656 (journal article).

28. Krnić, Mario; Pečarić, Josip; Perić, Ivan; Vuković, Predrag.
Hardy-Hilbert type inequalities with fractional kernel in ${; ; ; \bf R}; ; ; ^n$. // Journal of inequalities in pure and applied mathematics. 10 (2009) , 4; 115-1-115-19 (journal article).

29. Čižmešija, Aleksandra; Krnić, Mario; Pečarić, Josip.
General Hilbert-Type Inequalities with Non-conjugate Exponents. // Mathematical inequalities & applications. 11 (2008) , 2; 237-269 (journal article).

30. Krnić, Mario; Pečarić, Josip; Vuković, Predrag.
On some higher-dimensional Hilbert's and Hardy-Hilbert's integral inequalities with parameters. // Mathematical inequalities & applications. 11 (2008) , 4; 701-716 (journal article).

31. Krnić, Mario; Tomovski Živorad; Pečarić Josip.
Hilbert Inequalities Related to Generalized Hypergeometric Functions mFn. // Mathematica balkanica. 22 (2008) , 3-4; 307-322 (journal article).

32. Krnić, Mario; Pečarić Josip.
Some improvements on general Hilbert inequality. // Nonlinear Functional Analysis and Applications. 12 (2007) , 1; 21-40 (journal article).

33. Krnić, Mario; Pečarić, Josip.
On some general Hilbert's Inequalities with non-conjugate parameters. // Rendiconti del Circolo Matematico di Palermo. II (2007) , LVI; 219-234 (journal article).

34. Krnić, Mario; Pečarić, Josip; Vuković Predrag.
Some remarks on reverse Hilbert and Hardy-Hilbert type inequalities. // Rendiconti del Circolo Matematico di Palermo. II (2007) , LVI; 349-357 (journal article).

35. Bicheng, Yang; Brnetić, Ilko; Krnić, Mario; Pečarić, Josip.
Generalization of Hilbert's and Hardy-Hilbert's Integral Inequality. // Mathematical Inequalities and Applications. 8 (2005) , 2; 259-272 (journal article).

36. Brnetić, Ilko; Krnić, Mario; Pečarić, Josip.
Multiple Hilbert and Hardy-Hilbert inequalities with non-conjugate parameters. // Bulletin of the Australian Mathematical Society. 71 (2005) ; 447-457 (journal article).

37. Krnić, Mario; Mingzhe, Gao; Pečarić, Josip; Xuemei, Gao.
On the Best Constant in Hilbert's Inequality. // Mathematical Inequalities and Applications. 8 (2005) , 2; 317-329 (journal article).

38. Krnić, Mario; Pečarić, Josip.
Hilbert's inequalities and their reverses. // Publicationes Mathematicae Debrecen. 67 (2005) , 3-4; 315-331 (journal article).

39. Krnić, Mario; Pečarić, Josip.
General Hilbert's and Hardy's inequalities. // Mathematical inequalities & applications. 8 (2005) , 1; 29-51 (journal article).
 
  Plenary/Keynote talks
 

1. Krnić, Mario.
Superadditivity of the Jensen-type functionals and applications // Mathematical Inequalities and Applications, MIA 2014.
(plenary/keynote lecture,international peer-review,abstract,scientific).
 
  Abstracts in Book of abstracts
 

1. Rodić, Mirna; Krnić, Mario; Pečarić, Josip.
More accurate Jensen-type inequalities for signed measures // Mathematical Inequalities and Applications 2018, Book of Abstracts / Aglić Aljinović, Andrea ; Elezović, Neven ; Rodić, Mirna, editor(s).
Zagreb : Element, 2018. 68-68 (lecture,international peer-review,abstract,scientific).

2. Krnić, Mario; Lovričević, Neda; Pečarić, Josip.
Yet another method for bounding Jensen's functional for the operators on a Hilbert space // .
(lecture,international peer-review,abstract,scientific).

3. Krnić, Mario; Lovričević, Neda; Pečarić, Josip.
Superadditivity of the Levinson functional and applications // .
(lecture,international peer-review,abstract).

4. Mario Krnić.
Improved variants of Young, Heinz and Hölder inequalities for matrices // .
(lecture,international peer-review,abstract,scientific).

5. Krnić, Mario; Pečarić, Josip.
More precise weak majorization relations for the Jensen inequality and applications // 5th Congress of Mathematicians of Macedonia.
(lecture,international peer-review,abstract).

6. Hirzallah, Omar; Kittaneh, Fuad; Krnić, Mario; Lovričević, Neda; Pečarić, Josip.
On the eigenvalue inequalities for differences of means of Hilbert space operators // .
(poster,international peer-review,abstract,scientific).

7. Lovričević, Neda; Kittaneh, Fuad; Krnić, Mario; Pečarić, Josip.
Jensen-type functionals for the operators on a Hilbert space // .
(lecture,international peer-review,abstract,scientific).

8. Lovričević, Neda; Krnić, Mario; Pečarić, Josip.
On Some Improvements of Hoelder's Inequality // 2nd International Eurasian Conference on Mathematical Sciences and Applications, Abstracts book.
Sarajevo, 2013. 109-109 (lecture,international peer-review,abstract,scientific).

9. Krnić, Mario; Lovričević, Neda; Pečarić, Josip.
Superadditivity of some Jensen-type functionals // Book of abstracts - 5th Croatian Mathematical Congress, 18-21 June, 2012, Rijeka, Croatia / Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja (ur.). Rijeka: Department of Mathematics, University of Rijeka, 2012..
62-62 (lecture,international peer-review,abstract,scientific).

10. Mario Krnić.
Multidimensional Hilbert-type inequality on the weighted Orlicz spaces // Book of Abstracts -- 5th Croatian Mathematical Congress.
61-61 (lecture,international peer-review,abstract,scientific).

11. Krnić, Mario.
Hilbert inequalities related to generalized hypergeometric functions // Analysis, Inequalities and Homogenization Theory (AIHT)– midnightsun conference in honour of Professor Lars-Erik Persson on the occasion of his 65th birthday, Lulea, Sweden.
(lecture,international peer-review,abstract,scientific).

12. Krnić, Mario; Pečarić Josip; Vuković Predrag.
On some higher-dimensional Hilbert's and Hardy-Hilbert's integral inequalities with parameters // Mathematical Conference, 85 Years of Professor Blagoj Popov Life, Ohrid, Macedonia.
(lecture,international peer-review,abstract,scientific).

13. Krnić, Mario; Pečarić, Josip.
Extension of Hilbert's Inequality // Fourth Croatian Mathematical Congress, Osijek, Croatia.
(poster,international peer-review,abstract,scientific).

14. Krnić, Mario.
Hilbert inequality and Gaussian hypergeometric functions // Mathematical Inequalities and Applications, Trogir, Croatia.
(lecture,international peer-review,abstract,scientific).

15. Brnetić, Ilko; Krnić, Mario; Pečarić, Josip.
General Hilbert's and Hardy-Hilbert's Inequality // Treći hrvatski matematički kongres / Nikica Uglešić, editor(s).
Split : Hrvatsko matematičko društvo, 2004. 26-26 (lecture,abstract,scientific).

16. Čižmešija, Aleksandra; Krnić, Mario; Pečarić, Josip.
General Hilbert's inequalities with non-conjugate parameters // Third Croatian Congress of Mathematics.
2004. (abstract,scientific).
 
  Dissertations
 

1. Krnić, Mario.
On some inequalities of Hilbert's type / doctoral thesis.
Zagreb : Prirodoslovno-matematički fakultet, Matematički odjel, 27.10. 2004, 130 pages. Mentor: Pečarić, Josip.
 
  Master thesis
 

1. Krnić, Mario.
Representations of braid groups and quantum groups / pre-Bologna master thesis.
Zagreb : Prirodoslovno-matematički fakultet, Matematički odjel, 20.12. 2000, 153 pages. Mentor: Svrtan, Dragutin.
 
  Mentoring
 

1. Lovričević, Neda.
Superadditivity of the Jensen-type functionals and applications / doctoral thesis.
Zagreb : PMF - Matematički odsjek, 09.07. 2012., 134 pages. Mentor: Krnić, Mario.

2. Ivelić, Slavica.
Generalizations and refinements of the Jensen-Steffensen and its associated inequalities / doctoral thesis.
Zagreb : Prirodoslovno matematički fakultet - Matematički odsjek, 26.07. 2011, 126 pages. Mentor: Matković, Anita.
 

Teaching duties

University undergraduate

University graduate

Postgraduate doctoral study programme

Competences

  • Mathematics
    Algebra Abstract algebra Linear algebra Matrices Vectors Set theory Combinatorial mathematics Graph theory Bipartite graph Shortest path problem Tree graphs Conformal mapping Convergence Convex functions Eigenvalues and eigenfunctions Equations Difference equations Polynomials Euclidean distance Hilbert space Fourier series Functional analysis Graph theory Bipartite graph Optimal matching Harmonic analysis  Kernel Null space System kernels Mathematical model Mathematical analysis Formal concept analysis Fractional calculus Piecewise linear techniques Piecewise linear approximation Probability Bayes methods Error probability Possibility theory Probability distribution Exponential distribution Log-normal distribution Maxwell-Boltzmann distribution Random variables Statistical distributions Distribution functions Gaussian distribution Uncertainty Sequences Binary sequences Random sequences Statistics Adaptive estimation Autoregressive processes Correlation Autocorrelation Correlation coefficient Covariance matrices Higher order statistics Histograms Linear discriminant analysis Maximum likelihood estimation Taylor series Transforms Discrete transforms Discrete cosine transforms Empirical mode decomposition Fourier transforms Discrete Fourier transforms Fast Fourier transforms Fourier transform infrared spectroscopy Karhunen-Loeve transforms Poincare invariance Wavelet transforms
  • Computers and information processing
    Mathematics computing Matlab