prof. dr. sc. Mario Krnić

Full professor, Department of Applied Mathematics

Location:
Public phone number:
6129-965
Internal phone number:
465

External Jensen-type operator inequalities via superquadraticity

Kian, Mohsen ; Krnić, Mario ; Rostamian Delavar, Mohsen
2020.
Applicable Analysis and Discrete Mathematics

Characterizations of inner product spaces via angular distances and Cauchy-Schwarz inequality

Krnić, Mario ; Minculete, Nicusor
2020.
Aequationes mathematicae

Some new dynamic Hardy-type inequalities with kernels involving monotone functions

Saker, Samir ; Saied, Ahmed ; Krnić, Mario
2020.
Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas

The weighted discrete Gehring classes, Muckenhoupt classes and their basic properties

Saker, Samir ; Krnić, Mario
2020.
Proceedings of the American Mathematical Society

Multidimensional Hilbert-type inequalities obtained via local fractional calculus

Krnić, Mario ; Vuković, Predrag
2020.
Acta applicandae mathematicae

Some new weighted dynamic inequalities for monotone functions involving kernels

Saker, Samir H. ; Saied Ahmed I. ; Krnić, Mario
2020.
Mediterranean journal of mathematics

Higher integrability theorems on time scales from reverse Holder's inequalities

Saker, Samir H. ; Osman, Mahmoud M. ; Krnić, Mario
2019.
Applicable Analysis and Discrete Mathematics

Higher summability theorems from the weighted reverse discrete inequalities

Saker, Samir. H ; Krnić, Mario ; Pečarić, Josip
2019.
Applicable Analysis and Discrete Mathematics

A unified approach to fractal Hilbert-type inequalities

Batbold, Tserendorj ; Krnić, Mario ; Vuković, Predrag
2019.
Journal of inequalities and applications

More accurate dynamic Hardy-type inequalities obtained via superquadraticity

Saker, Samir ; Rezk, Haytham ; Krnić, Mario
2019.
Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas

Mutual bounds for Jensen-type operator inequalities related to higher order convexity

Krnić, Mario ; Mikić, Rozarija ; Pečarić, Josip
2019.
Aequationes mathematicae

A unified treatment of Hilbert-Pachpatte-type inequalities for a class of non-homogeneous kernels

Batbold, Tserendorj ; Azar, Laith. E. ; Krnić, Mario
2019.
Applied mathematics and computation

Double precision of the Jensen-type operator inequalities for bounded and Lipschitzian functions

Krnić, Mario ; Mikić, Rozarija ; Pečarić, Josip
2019.
Aequationes mathematicae

More accurate Hilbert-type inequalities in a difference form

Batbold, Tserendorj ; Krnić, Mario ; Pečarić, Josip
2018.
Results in mathematics

More accurate Jensen-type inequalities for signed measures

Rodić, Mirna ; Krnić, Mario ; Pečarić, Josip
2018.
Mathematical Inequalities and Applications 2018

Interpolating Jensen-type operator inequalities for log-convex and superquadratic functions

Bakherad, Mojtaba ; Kian, Mohsen ; Krnić, Mario ; Ahmadi, Seyyed Alireza
2018.
Filomat

More accurate classes of Jensen-type inequalities for convex and operator convex functions

Choi, Daeshik ; Krnić, Mario ; Pečarić, Josip
2018.
Mathematical Inequalities & Applications

Further Development of Hilbert-type Inequalities

Batbold, Tserendorj ; Krnić, Mario ; Pečarić, Josip ; Vuković, Predrag
2017.

More accurate Jensen-type inequalities for signed measures characterized via Green function and applications

Krnić, Mario ; Pečarić, Josip ; Rodić, Mirna
2017.
Turkish Journal of Mathematics

Improved Jensen-type inequalities via linear interpolation and applications

Choi, Daeshik ; Krnić, Mario ; Pečarić, Josip
2017.
Journal of Mathematical Inequalities

A class of Hilbert-type inequalities obtained via the improved Young inequality

Krnić, Mario ; Vuković, Predrag
2017.
Results in mathematics

Strengthened converses of the Jensen and Edmundson- Lah-Ribarič inequalities

Krnić, Mario ; Mikić, Rozarija ; Pečarić, Josip
2016.
Advances in Operator Theory

Multiple Hilbert-type inequalities involving some differential operators

Adiyasuren, Vandanjav ; Batbold, Tserendorj ; Krnić, Mario
2016.
Banach Journal of Mathematical Analysis

Reverse Young-type inequalities for matrices and operatorss

Bakherad, Mojtaba ; Krnić, Mario ; Moslehian, Mohammad Sal
2016.
The Rocky Mountain journal of mathematics

More accurate converses of the Jensen and the Lah-Ribarič operator inequality

Jakšić, Rozarija ; Krnić, Mario ; Pečarić, Josip
2016.
Annals of the Alexandru Ioan Cuza University - Mathematics

Superadditivity of the Levinson functional and applications

Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
2015.
Mathematical Inequalities and Applications 2015, International conference organized on the occasion of 60th birthdays of Professors Neven Elezović, Marko Matić and Ivan Perić

Improved variants of Young, Heinz and Hölder inequalities for matrices

Mario Krnić
2015.
3rd International Conference on Applied Mathematics and Approximation Theory, TOBB University of Economics and Technology

Superadditivity and monotonicity of the Jensen-type functionals (New methods for improving the Jensen-type inequalities in real and in operator cases)

Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip ; Perić, Jurica
2015.

Yet another method for bounding Jensen's functional for the operators on a Hilbert space

Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
2015.
Mathematical Inequalities and Applications 2015

Superadditivity of the Levinson functional and applications

Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
2015.
Periodica mathematica Hungarica

More accurate Young, Heinz, and Holder inequalities for matrices

Krnić, Mario
2015.
Periodica mathematica Hungarica

On some new converses of the Jensen and the Lah-Ribarič operator inequality

Jakšić, Rozarija ; Krnić, Mario ; Pečarić, Josip
2015.
Hacettepe Journal of Mathematics and Statistics

Hilbert-type inequalities involving differential operators, the best constants, and applications

Adiyasuren, Vandanjav ; Batbold, Tserendorj ; Krnić, Mario
2015.
Mathematical inequalities & applications

The best constants in multidimensional Hilbert-type inequalities involving some weighted means operators

Adiyasuren, Vandanjav ; Batbold, Tserendorj ; Krnić, Mario
2015.
Bulletin of the Malaysian Mathematical Sciences Society

Half-discrete Hilbert-type inequalities involving differential operators

Adiyasuren, Vandanjav ; Batbold, Tserendorj ; Krnić, Mario
2014.
Journal of inequalities and applications

Superadditivity of the Jensen-type functionals and applications

Krnić, Mario
2014.
One thousand papers conference, MIA 2014, Trogir

More precise weak majorization relations for the Jensen inequality and applications

Krnić, Mario ; Pečarić, Josip
2014.
5th Congress of Mathematicians of Macedonia

More precise estimates for the Jensen operator inequality obtained via the Lah-Ribarič inequality

Jakšić, Rozarija ; Krnić, Mario ; Pečarić, Josip
2014.
Applied mathematics and computation

On the eigenvalue inequalities for differences of means of Hilbert space operators

Hirzallah, Omar ; Kittaneh, Fuad ; Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
2014.
3rd International Eurasian Conference on Mathematical Sciences and Applications ( IECMSA-2014)"

Jensen-type functionals for the operators on a Hilbert space

Lovričević, Neda ; Kittaneh, Fuad ; Krnić, Mario ; Pečarić, Josip
2014.
Mathematical Inequalities and Applications 2014 (One thousand papers conference)

More accurate weak majorization relations for the Jensen and some related inequalities

Krnić, Mario ; Pečarić, Josip
2014.
Linear algebra and its applications

On a more accurate class of discrete Hilbert-type inequalities

Krnić, Mario ; Vuković, Predrag
2014.
Applied mathematics and computation

Half-discrete Hilbert-type inequalities with mean operators, the best constants, and applications

Adiyasuren, Vandanjav ; Batbold, Tserendorj ; Krnić, Mario
2014.
Applied mathematics and computation

Weighted Montgomery identity for fractional integral of a function with respect to another function

Aglić Aljinović, Andrea ; Krnić, Mario ; Pečarić, Josip
2014.
Georgian mathematical journal

On more accurate Hilbert-type inequalities in finite measure spaces

Krnić, Mario ; Pečarić, Josip
2014.
Collectanea mathematica

A half-discrete version of the Mulholland inequality

Yang, Bicheng ; Krnić, Mario
2014.
Mathematical reports

On a strengthened multidimensional Hilbert-type inequality

Krnić, Mario
2014.
Mathematica slovaca

On Some Improvements of Hoelder's Inequality

Lovričević, Neda ; Krnić, Mario ; Pečarić, Josip
2013.
2nd International Eurasian Conference on Mathematical Sciences and Applications

On some multidimensional Hilbert-type inequalities in a discrete case

Krnić, Mario ; Vuković, Predrag
2013.
Ukrainian mathematical journal

On several new Hilbert-type inequalities involving means operators

Adiyasuren, Vandanjav ; Batbold, Tserendorj ; Krnić, Mario
2013.
Acta mathematica sinica-english series

A unified treatment of half-discrete Hilbert-type inequalities with a homogeneous kernel

Krnić, Mario ; Pečarić, Josip ; Vuković, Predrag
2013.
Mediterranean journal of mathematics

A strengthened form of a general Hardy-type inequality obtained via superquadraticity and its applications

Čižmešija, Aleksandra ; Krnić, Mario
2013.
International journal of pure and applied mathematics

Refinements and reverses of means inequalities for Hilbert space operators

Hirzallah, Omar ; Kittaneh, Fuad ; Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
2013.
Banach Journal of Mathematical Analysis

Improved Heinz inequalities via the Jensen functional

Krnić, Mario ; Pečarić, Josip
2013.
Central European Journal of Mathematics

Hilbert-type inequalities for Hilbert space operators

Krnić, Mario
2013.
Quaestiones Methematicae

Refined Heinz operator inequalities

Kittaneh, Fuad ; Krnić, Mario
2013.
Linear and multilinear algebra

On the properties of McShane's functional and their applications

Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
2013.
Periodica mathematica Hungarica

Multidimensional Hilbert-type inequality on the weighted Orlicz spaces

Mario Krnić
2012.
5th Croatian Mathematical Congress

Superadditivity of some Jensen-type functionals

Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
2012.
5th Croatian Mathematical Congress

On the multidimensional Hilbert-type inequalities involving the Hardy operator

Krnić, Mario
2012.
Filomat

On a multidimensional version of the Hilbert-type inequality

Krnić, Mario ; Vuković, Predrag
2012.
Analysis Mathematica

A refined discrete Hilbert inequality via the Hermite-Hadamard inequality

Krnić, Mario
2012.
Computers & mathematics with applications

Superadditivity, monotonicity and exponential convexity of the Petrovic-type functionals

Butt, Saad Ihsan ; Krnić, Mario ; Pečarić, Josip
2012.
Abstract and applied analysis

On some refinements and converses of multidimensional Hilbert-type inequalities

Krnić, Mario
2012.
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY

A Half-Discrete Hilbert-Type Inequality with a General Homogeneous Kernel of Degree 0

Bicheng, Yang ; Krnić, Mario
2012.
Journal of Mathematical Inequalities

Multidimensional Hilbert-type inequality on the weighted Orlicz spaces

Krnić, Mario
2012.
Mediterranean Journal of Mathematics

On some properties of Jensen-Mercer's functional

Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
2012.
Journal of Mathematical Inequalities

Eigenvalue inequalities for differences of means of Hilbert space operators

Hirzzalah, Omar ; Kittaneh, Fuad ; Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
2012.
Linear algebra and its applications

Multidimensional Jensen's operator on a Hilbert space and applications

Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
2012.
Linear algebra and its applications

Jessen's functional, its properties and applications

Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
2012.
Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica

Jensen's Operator and Applications to Mean Inequalities for Operators in Hilbert Space

Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
2012.
Bulletin of the Malaysian Mathematical Sciences Society

Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators

Kittaneh, Fuad ; Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
2012.
PUBLICATIONES MATHEMATICAE-DEBRECEN

On the norm of a multidimensional Hilbert-type operator

Bicheng, Yang ; Krnić, Mario
2011.
Sarajevo journal of mathematics

On Some Properties of Jensen-Steffensen's Functional

Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
2011.
Annals of the University of Craiova-Mathematics and Computer Science Series

Discrete Hilbert-type inequalities with general homogeneous kernels

Krnić, Mario ; Pečarić, Josip ; Vuković, Predrag
2011.
Rendiconti del Circolo Matematico di Palermo

General Hardy-type inequalities with non-onjugate exponents

Čižmešija, Aleksandra ; Krnić, Mario ; Pečarić, Josip
2011.
Bulletin of the Iranian Mathematical Society

Mathematics 3, Vector analysis

Burić, Tomislav ; Korkut, Luka ; Krnić, Mario ; Milišić, Josipa Pina ; Pašić, Mervan
2010.

Hilbert-type inequalities and related operators with homogeneous kernel of degree 0

Bicheng Yang ; Krnić, Mario
2010.
Mathematical inequalities & applications

Mathematical Competitions 2008./2009.

Hanjš, Željko ; Krnić, Mario
2010.

Hilbert inequalities related to generalized hypergeometric functions

Krnić, Mario
2009.
Analysis, Inequalities and Homogenization Theory (AIHT)– midnightsun conference in honour of Professor Lars-Erik Persson on the occasion of his 65th birthday

Hardy-Hilbert type inequalities with fractional kernel in ${; ; ; \bf R}; ; ; ^n$

Krnić, Mario ; Pečarić, Josip ; Perić, Ivan ; Vuković, Predrag
2009.
Journal of inequalities in pure and applied mathematics

Hilbert inequality and Gaussian hypergeometric functions

Krnić, Mario
2009.
Journal of mathematical inequalities

Mathematical Competitions 2007/2008

Hanjš, Željko ; Krnić, Mario
2009.

Hilbert inequality and Gaussian hypergeometric functions

Krnić, Mario
2008.
Mathematical Inequalities and Applications

Extension of Hilbert's Inequality

Krnić, Mario ; Pečarić, Josip
2008.
Fourth Croatian Mathematical Congress

On some higher-dimensional Hilbert's and Hardy-Hilbert's integral inequalities with parameters

Krnić, Mario ; Pečarić Josip ; Vuković Predrag
2008.
Mathematical Conference, 85 Years of Professor Blagoj Popov Life

Hilbert Inequalities Related to Generalized Hypergeometric Functions mFn

Krnić, Mario ; Tomovski Živorad ; Pečarić Josip
2008.
Mathematica balkanica

On some higher-dimensional Hilbert's and Hardy-Hilbert's integral inequalities with parameters

Krnić, Mario ; Pečarić, Josip ; Vuković, Predrag
2008.
Mathematical inequalities & applications

General Hilbert-Type Inequalities with Non-conjugate Exponents

Čižmešija, Aleksandra ; Krnić, Mario ; Pečarić, Josip
2008.
Mathematical inequalities & applications

Mathematical Competitions 2006/2007

Hanjš, Željko ; Krnić, Mario
2008.

A Hilbert inequality and an Euler-Maclaurin summation formula

Krnić, Mario ; Pečarić, Josip
2007.
Anziam Journal

Mathematics competitions 2005/2006

Balagović, Martina ; Hanjš, Željko ; Krnić, Mario,
2007.

Some remarks on reverse Hilbert and Hardy-Hilbert type inequalities

Krnić, Mario ; Pečarić, Josip ; Vuković Predrag
2007.
Rendiconti del Circolo Matematico di Palermo

On some general Hilbert's Inequalities with non-conjugate parameters

Krnić, Mario ; Pečarić, Josip
2007.
Rendiconti del Circolo Matematico di Palermo

Some improvements on general Hilbert inequality

Krnić, Mario ; Pečarić Josip
2007.
Nonlinear Functional Analysis and Applications

Extension of Hilbert's inequality

Krnić, Mario ; Pečarić Josip
2006.
Journal of Mathematical Analysis and Applications

Mathematical Competitions 2004/2005

Hanjš, Željko ; Kovač, Vjekoslav ; Krnić, Mario
2006.

Multiple Hilbert and Hardy-Hilbert inequalities with non-conjugate parameters

Brnetić, Ilko ; Krnić, Mario ; Pečarić, Josip
2005.
Bulletin of the Australian Mathematical Society

General Hilbert's and Hardy's inequalities

Krnić, Mario ; Pečarić, Josip
2005.
Mathematical inequalities & applications

On the Best Constant in Hilbert's Inequality

Krnić, Mario ; Mingzhe, Gao ; Pečarić, Josip ; Xuemei, Gao
2005.
Mathematical Inequalities and Applications

Generalization of Hilbert's and Hardy-Hilbert's Integral Inequality

Bicheng, Yang ; Brnetić, Ilko ; Krnić, Mario ; Pečarić, Josip
2005.
Mathematical Inequalities and Applications

Hilbert's inequalities and their reverses

Krnić, Mario ; Pečarić, Josip
2005.
Publicationes Mathematicae Debrecen

On some inequalities of Hilbert's type

Krnić, Mario
2004.

General Hilbert's inequalities with non-conjugate parameters

Čižmešija, Aleksandra ; Krnić, Mario ; Pečarić, Josip
2004.
Third Croatian Congress of Mathematics

General Hilbert's and Hardy-Hilbert's Inequality

Brnetić, Ilko ; Krnić, Mario ; Pečarić, Josip
2004.
Third Croatian Congress of Mathematics

The pigenhole principle

Krnić, Mario
2001.

Representations of braid groups and quantum groups

Krnić, Mario
2000.

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