prof. dr. sc. Andrea Aglić Aljinović

Full professor, Department of Applied Mathematics

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

1. Aglić Aljinović, Andrea; Čivljak, Ambroz; Kovač, Sanja; Pečarić, Josip; Ribičić Penava, Mihaela.
General Integral Identities and Related Inequalities .
Zagreb : Element, 2013 (monograph).
 
  Textbooks and scripts
 

1. Andrea Aglić Aljinović, Vladimir Ćepulić, Neven Elezović, Lana Horvat Dmitrović, Ljubo Marangunić, Tomislav Šikić, Ana Žgaljić Keko, Darko Žubrinić, Vesna Županović.
Mathematics 2 / Gračan, Sandra, editor(s).
Zagreb : Element, 2015.

2. Andrea Aglić Aljinović, Ilko Brnetić, Vladimir Ćepulić, Neven Elezović, Ljubo Marangunić, Mervan Pašić, Darko Žubrinić, Vesna Županović.
Mathematics 1 / Sandra Gračan, editor(s).
Zagreb : Element, 2014.

3. Elezović, Neven; Aglić-Aljinović, Andrea.
Linear algebra, problems book .
Zagreb : Element, 1996.
 
  Journal articles and review articles in CC journals
 

1. Aglić Aljinović, Andrea; Pečarić, Josip; Perušić Pribanić, Anamarija.
Generalizations of Steffensen's inequality via the extension of Montgomery identity. // Open Mathematics. 2018 (2018) , 16; 420-428 (journal article).

2. Aglić Aljinović, Andrea; Khan, Asif; Pečarić, Josip.
Weighted majorization theorems via generalization of Taylor's formula. // Journal of inequalities and applications. (2015) , 196; 196-1-196-22 (journal article).

3. Aglić Aljinović, Andrea; Pečarić, Josip; Tipurić-Spužević, Sanja.
Weighted quadrature rules via Grüss type inequalities for weighted L^p spaces. // Applied mathematics and computation. 264 (2015) ; 1-12 (journal article).

4. Aglić Aljinović, Andrea; Kovač, Sanja; Pečarić, Josip.
General weighted two-point Radau and Gauss and three-point Lobatto quadrature formulae for functions in Lp spaces. // Periodica mathematica Hungarica. 66 (2013) , 1; 23-44 (journal article).

5. Aglić Aljinović, Andrea; Kovač, Sanja; Pečarić, Josip.
Error bounds for weighted 2-point and 3-point Radau and Lobatto quadrature rules for functions of bounded variation. // Mathematical and computer modelling. 54 (2011) , 5/6; 1365-1379 (journal article).

6. Aglić Aljinović, Andrea; Pečarić, Josip; Ribičić Penava, Mihaela.
Sharp integral inequalities based on general two-point formula via an extension of Montgomery identity. // ANZIAM journal. 51 (2009) , 01; 67-101 (journal article).

7. Aglić Aljinović, Andrea; Matić, Marko; Pečarić, Josip.
Improvements of some Ostrowski type inequalities. // Journal of Computational Analysis and Applications. 7 (2005) , 3; 289-304 (journal article).

8. Aglić Aljinović, Andrea; Pečarić, Josip; Vukelić, Ana.
The extension of Montgomery identity via Fink identity with applications. // Journal of inequalities and applications. 2005 (2005) , 1; 67-80 (journal article).

9. Aglić Aljinović, Andrea; Pečarić, Josip.
Discrete weighted Montgomery identity and discrete Ostrowski type inequalities. // Computers & Mathematics with Applications. 48 (2004) ; 731-745 (journal article).
 
  Scientific papers in other journals
 

1. Aglić Aljinović, Andrea; Khan, Asif; Pečarić, Josip.
Weighted majorization inequalities for n-convex functions via extension of Montgomery identity using Green function. // Arabian Journal of Mathematics. 7 (2018) , 2; 77-90 (journal article).

2. Aglić Aljinović, Andrea.
Approximations of the Mellin transform in the complex domain. // Advances in Pure and Applied Mathematics. 5 (2014) , 3; 139-149 (journal article).

3. Aglić Aljinović, Andrea.
Montgomery identity and Ostrowski type inequalities for Riemann-Liouville fractional integral. // Journal of Mathematics. 2014 (2014) ; (journal article).

4. 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).

5. Aglić Aljinović, Andrea; Pečarić, Josip; Perušić, Anamarija.
Generalizations of Steffensen's inequality via weighted Montgomery identity. // Mathematical inequalities & applications. 17 (2014) , 2; 779-799 (journal article).

6. Aglić Aljinović, Andrea; Pečarić, Josip; Perušić Pribanić, Anamarija.
Generalizations of Steffensen's inequality via n weight functions. // Matematički bilten. 38 (2014) , 2; 31-51 (journal article).

7. Aglić Aljinović, Andrea; Pečarić, Josip; Tipurić-Spužević, Sanja.
Weighted Ostrowski type inequalities for functions with one point of nondifferentiability. // Arab Journal of Mathematical Sciences. 20 (2014) , 2; 177-190 (journal article).

8. Aglić Aljinović, Andrea; Pečarić, Josip.
A Discrete Weighted Montgomery Identity and Ostrowski Type Inequalities for Functions of Two Variables. // Sarajevo journal of mathematics. 9 (2013) , 1; 47-56 (journal article).

9. Aglić Aljinović, Andrea.
Inequalities involving Mellin transform, integral mean, exponential and logarithmic mean. // Annals of the University of Craiova, Mathematics and Computer Science Series. 39 (2012) , 2; 277-287 (journal article).

10. Aglić Aljinović, Andrea; Pečarić, Josip; Tipurić-Spužević, Sanja.
Identities of Sonin-type and applications. // Matematički bilten. 36 (2012) ; 5-18 (journal article).

11. Aglić Aljinović, Andrea.
Error estimates for approximations of the Laplace transform of functions in Lp spaces. // The Australian journal of mathematical analysis and applications. 8 (2011) , 1; 1-22 (journal article).

12. Aglić Aljinović, Andrea.
A note on generalization of weighted Čebyšev and Ostrowski inequalities. // Journal of Mathematical Inequalities. 3 (2009) , 3; 409-416 (journal article).

13. Aglić Aljinović, Andrea; Pečarić, Josip.
Note on integral inequality similar to Qi's inequality. // Mathematica Macedonica. 7 (2009) ; 1-7 (journal article).

14. Aglić Aljinović, Andrea; Hoxha, Razim; Pečarić, Josip.
On some Ostrowski type integral inequalities. // Sarajevo journal of mathematics. 3 (2007) , 1; 29-40 (journal article).

15. Aglić Aljinović, Andrea; Pečarić, Josip.
Extensions of Montgomery identity with applications for alpha-L-Holder type functions. // Journal of Concrete and Applicable Mathematics. 5 (2007) , 1; 9-24 (journal article).

16. Aglić Aljinović, Andrea; Pečarić, Josip.
Generalizations of weighted Euler identity and Ostrowski type inequalities. // Advanced Studies in Contemporary Mathematics. 14 (2007) , 1; 141-151 (journal article).

17. Aglić Aljinović, Andrea; Hoxha, Razim; Pečarić, Josip.
On some Čebyšev-Gruss type integral inequalities. // Bulletin Mathematique de la Societe des Mathematiciens de la Republique de Macedoine. 30 (2006) ; 49-62 (journal article).

18. Aglić Aljinović, Andrea; Dedić, Ljuban; Matić, Marko; Pečarić, Josip.
On weighted Euler harmonic identities with applications. // Mathematical Inequalities & Applications. 8 (2005) , 2; 237-257 (review article).

19. Aglić Aljinović, Andrea; Hoxha, Razim; Pečarić, Josip.
Some Gruss type integral inequalities. // Bulletin Mathematique de la Societe des Mathematiciens de la Republique de Macedoine. 29 (2005) ; 5-16 (journal article).

20. Aglić Aljinović, Andrea; Marangunić, Ljubo; Pečarić, Josip.
On Landau type inequalities via extension of Montgomery identity, Euler and Fink identities. // Nonlinear Functional Analysis and Applications. 10 (2005) , 2; 273-283 (journal article).

21. Aglić Aljinović, Andrea; Marangunić, Ljubo; Pečarić, Josip.
On Landau type inequalities via Ostrowski inequalities. // Nonlinear functional analysis and applications. 10 (2005) , 4; 565-579 (journal article).

22. Aglić Aljinović, Andrea; Pečarić, Josip.
The weighted Euler identity. // Mathematical Inequalities & Applications. 8 (2005) , 2; 207-221 (journal article).

23. Aglić Aljinović, Andrea; Pečarić, Josip.
On some Ostrowski type inequalities via Montgomery identity and Taylor's formula. // Tamkang Journal of Mathematics. 36 (2005) , 3; 199-218 (journal article).

24. Aglić Aljinović, Andrea; Pečarić, Josip; Vukelić, Ana.
On some Ostrowski type inequalities via Montgomery identity and Taylor's formula II. // Tamkang Journal of Mathematics. 36 (2005) , 4; 279-301 (journal article).

25. Aglić Aljinović, Andrea; Pečarić, Josip.
A discrete Euler identity. // Journal of Inequalities in Pure & Applied Mathematics. 5 (2004) , 3; article 58 (journal article).

26. Aglić Aljinović, Andrea; Pečarić, Josip.
Error estimates for aproximations of the Fourier transform of functions in Lp spaces. // The Australian journal of mathematical analysis and applications. 1 (2004) , 2, Aticle 10; 1-19 (journal article).

27. Aglić Aljinović, Andrea; Perić, Ivan; Pečarić, Josip.
Estimates of the difference between two weighted integral means via weighted Montgomery identity. // Mathematical Inequalities & Applications. 7 (2004) , 3; 315-336 (journal article).
 
  Abstracts in Book of abstracts
 

1. Aglić Aljinović, Andrea; Pečarić, Josip; Perušić Pribanić Anamarija.
Generalizations of Steffensen's inequality via the extension of Montgomery identity // 6th Croatian Mathematical Congress.
Zagreb, 2016. 61 (poster,international peer-review,abstract,scientific).

2. Aglić Aljinović, Andrea; Pečarić, Josip.
Fractional Ostrowski type inequalities and applications // Mathematical Inequalities and Applications 2014 / Andrić, Maja ; Klaričić Bakula, Milica ; Varošenec, Sanja, editor(s).
Zagreb : Element, 2014. 19-19 (lecture,international peer-review,abstract,scientific).

3. Aglić Aljinović, Andrea; Pečarić, Josip; Perušić Pribanić, Anamarija.
Generalizations of Steffensen's inequality via n weight functions // Book of Abstracts, V Congress of Mathematicians of Macedonia / Celakoska-Jordanova, Vesna, editor(s).
Skopje, 2014. 79 (lecture,international peer-review,abstract,scientific).

4. Aglić Aljinović, Andrea; Pečarić, Josip; Tipurić-Spužević, Sanja.
Weighted Quadrature Rules via Grüss Type Inequalities for Weighted Lp Spaces // 2nd INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS, PROCEEDING BOOK.
2013. 447-447 (poster,international peer-review,abstract).

5. Aglić Aljinović, Andrea.
Error bounds for approximations of the integral transforms in the complex domain // Book of Abstracts, 5th CroMC / Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja, editor(s).
Rijeka : Department ofMathematics, University of Rijeka, 2012. 53-53 (lecture,international peer-review,abstract,scientific).

6. Aglić Aljinović, Andrea; Kovač, Sanja; Pečarić, Josip.
Error bounds for weighted twopoint open and semi-open quadrature rules // Book of Abstracts, 5th Croatian Mathematical Congress / Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja, editor(s).
Rijeka, 2012. 60-60 (lecture,international peer-review,abstract,scientific).

7. Aglić Aljinović, Andrea.
Error bounds for approximations of the Laplace transform of functions in Lp spaces // AIHT 2009 booklet.
Lulea, Sweden, 2009. 16-16 (lecture,international peer-review,abstract,scientific).

8. Aglić Aljinović, Andrea.
Error estimates for approximations of the Mellin transform in Lp spaces // MASSEE International Congress on Mathematics, MICOM 2009, Book of abstracts.
Ohrid, Makedonija, 2009. 8-8 (lecture,international peer-review,abstract,scientific).

9. Aglić Aljinović, Andrea; Kovač, Sanja; Pečarić, Josip.
Weighted two-point quadrature formula of semiclosed type for fuctions of bounded variation // MASSEE International Congress on Mathematics MICOM 2009, Book of Abstracts.
2009. 8-9 (lecture,international peer-review,abstract,scientific).

10. Aglić Aljinović, Andrea.
Weighted generalizations of the Euler identity with applications to Ostrowski-type inequalities // Mathematical Inequalities and Applications 2008 / Čižmešija, Aleksandra ; Varošanec, Sanja, editor(s).
Zagreb : Element, 2008. 28-28 (lecture,international peer-review,abstract,scientific).

11. Aglić Aljinović, Andrea; Pečarić, Josip.
Estimates for approximations of the Fourier transform of functions in Lp spaces // 4th Croatian Mathematical Congres CroMC2008.
Zagreb : HMD, 2008. 15-15 (lecture,international peer-review,abstract,scientific).

12. Aglić, Andrea; Pečarić, Josip.
Discrete weighted Montgomery identity and discrete Ostrowski type inequalities // Treći Hrvatski matematički kongres / Uglešić, Nikica, editor(s).
Split : Hrvatsko matematičko društvo, 2004. 21-21 (lecture,international peer-review,abstract,scientific).
 
  Unpublished papers
 

1. Aglić Aljinović, Andrea; Tipurić Spužević, Sanja; Pečarić, Josip.
Identities of Sonin-type and applications // Book of Abstracts, 5th CroMC / Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja, editor(s).
Rijeka : Department of Mathematics, University of Rijeka, 2012. 129-129 (poster,international peer-review,unpublished,scientific).
 
  Dissertations
 

1. Aglić Aljinović, Andrea.
Weighted generalisations of the Euler integral formula and applications / doctoral thesis.
Zagreb : Prirodoslovno-matematički fakultet, Matematički odjel, 06.04. 2004., 151 pages. Mentor: Pečarić, Josip.
 
  Master thesis
 

1. Aglić, Andrea.
Free partially commutative Lie algebras, theory of heaps of peaces / pre-Bologna master thesis.
Zagreb : Prirodoslovno-matematički fakultet, Matematički odjel, 28.10. 1996., 80 pages. Mentor: Svrtan, Dragutin.
 
  Mentoring
 

1. Tipurić-Spužević, Sanja.
Generalizations of Sokolov's inequality and related results / doctoral thesis.
Mostar, Bosna i Hercegovina : Fakultet prirodoslovno-matematičkih i odgojnih znanosti, 30.05. 2014., 89 pages. Mentor: Matić, Marko.

2. Barić, Josipa.
Refinements of Jensen's inequality and related inequalities / doctoral thesis.
Zagreb : Matematički odsjek Prirodoslovno-matematičkog fakulteta, 17.01. 2011., 114 pages. Mentor: Matić, Marko.
 

Teaching duties

University undergraduate

University graduate

Postgraduate doctoral study programme

Competences

  • Mathematics
    Integral equations Convex functions Estimation error Mathematical analysis Fractional calculus Approximation error Taylor series Fourier transforms
  • Mathematics
    Integral equations Convex functions Estimation error Mathematical analysis Fractional calculus Approximation error Taylor series Fourier transforms