prof. dr. sc. Mario Krnić

Full professor, Department of Applied Mathematics

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

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

Saker, Samir H. ; Osman, Mahmoud M. ; Krnić, Mario
Radovi u postupku objavljivanja, 2019.

Higher summability theorems from the weighted reverse discrete inequalities


Znanstveni i pregledni radovi, 2019.

A unified approach to fractal Hilbert-type inequalities

Batbold, Tserendorj ; Krnić, Mario ; Vuković, Predrag
Znanstveni i pregledni radovi, 2019.

More accurate dynamic Hardy-type inequalities obtained via superquadraticity

Saker, Samir ; Rezk, Haytham ; Krnić, Mario
Znanstveni i pregledni radovi, 2019.

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


Znanstveni i pregledni radovi, 2019.

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

Krnić, Mario ; Mikić, Rozarija ; Pečarić, Josip
Znanstveni i pregledni radovi, 2019.

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

Krnić, Mario ; Mikić, Rozarija ; Pečarić, Josip
Radovi u postupku objavljivanja, 2018.

More accurate Hilbert-type inequalities in a difference form


Znanstveni i pregledni radovi, 2018.

More accurate Jensen-type inequalities for signed measures

Rodić, Mirna ; Krnić, Mario ; Pečarić, Josip
Sažeci u zbornicima i časopisima, 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
Znanstveni i pregledni radovi, 2018.

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

Choi, Daeshik ; Krnić, Mario ; Pečarić, Josip
Znanstveni i pregledni radovi, 2018.

Further Development of Hilbert-type Inequalities

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

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

Krnić, Mario ; Pečarić, Josip ; Rodić, Mirna
Znanstveni i pregledni radovi, 2017.

Improved Jensen-type inequalities via linear interpolation and applications

Choi, Daeshik ; Krnić, Mario ; Pečarić, Josip
Znanstveni i pregledni radovi, 2017.

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

Krnić, Mario ; Vuković, Predrag
Znanstveni i pregledni radovi, 2017.

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


Znanstveni i pregledni radovi, 2016.
Krnić, Mario ; Mikić, Rozarija ; Pečarić, Josip

Multiple Hilbert-type inequalities involving some differential operators

Adiyasuren, Vandanjav ; Batbold, Tserendorj ; Krnić, Mario
Znanstveni i pregledni radovi, 2016.

Reverse Young-type inequalities for matrices and operatorss

Bakherad, Mojtaba ; Krnić, Mario ; Moslehian, Mohammad Sal
Znanstveni i pregledni radovi, 2016.

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

Jakšić, Rozarija ; Krnić, Mario ; Pečarić, Josip
Znanstveni i pregledni radovi, 2016.

Superadditivity of the Levinson functional and applications

Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
Druga sudjelovanja na skupovima, 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
Druga sudjelovanja na skupovima, 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
Autorske knjige, 2015.

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

Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
Druga sudjelovanja na skupovima, 2015.
Mathematical Inequalities and Applications 2015

Superadditivity of the Levinson functional and applications

Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
Znanstveni i pregledni radovi, 2015.

More accurate Young, Heinz, and Holder inequalities for matrices

Krnić, Mario
Znanstveni i pregledni radovi, 2015.

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

Jakšić, Rozarija ; Krnić, Mario ; Pečarić, Josip
Znanstveni i pregledni radovi, 2015.

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

Adiyasuren, Vandanjav ; Batbold, Tserendorj ; Krnić, Mario
Znanstveni i pregledni radovi, 2015.

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

Adiyasuren, Vandanjav ; Batbold, Tserendorj ; Krnić, Mario
Znanstveni i pregledni radovi, 2015.

Superadditivity of the Jensen-type functionals and applications

Krnić, Mario
Sažeci u zbornicima i časopisima, 2014.
One thousand papers conference, MIA 2014, Trogir

More precise weak majorization relations for the Jensen inequality and applications

Krnić, Mario ; Pečarić, Josip
Sažeci u zbornicima i časopisima, 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
Znanstveni i pregledni radovi, 2014.

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

Hirzallah, Omar ; Kittaneh, Fuad ; Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
Druga sudjelovanja na skupovima, 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
Druga sudjelovanja na skupovima, 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
Znanstveni i pregledni radovi, 2014.

On a more accurate class of discrete Hilbert-type inequalities

Krnić, Mario ; Vuković, Predrag
Znanstveni i pregledni radovi, 2014.

Half-discrete Hilbert-type inequalities involving differential operators

Adiyasuren, Vandanjav ; Batbold, Tserendorj ; Krnić, Mario
Znanstveni i pregledni radovi, 2014.

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

Adiyasuren, Vandanjav ; Batbold, Tserendorj ; Krnić, Mario
Znanstveni i pregledni radovi, 2014.

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

Aglić Aljinović, Andrea ; Krnić, Mario ; Pečarić, Josip
Znanstveni i pregledni radovi, 2014.

On more accurate Hilbert-type inequalities in finite measure spaces

Krnić, Mario ; Pečarić, Josip
Znanstveni i pregledni radovi, 2014.

A half-discrete version of the Mulholland inequality

Yang, Bicheng ; Krnić, Mario
Znanstveni i pregledni radovi, 2014.

On a strengthened multidimensional Hilbert-type inequality

Krnić, Mario
Znanstveni i pregledni radovi, 2014.

On Some Improvements of Hoelder's Inequality

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

On some multidimensional Hilbert-type inequalities in a discrete case

Krnić, Mario ; Vuković, Predrag
Znanstveni i pregledni radovi, 2013.

On several new Hilbert-type inequalities involving means operators

Adiyasuren, Vandanjav ; Batbold, Tserendorj ; Krnić, Mario
Znanstveni i pregledni radovi, 2013.

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

Krnić, Mario ; Pečarić, Josip ; Vuković, Predrag
Znanstveni i pregledni radovi, 2013.

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

Čižmešija, Aleksandra ; Krnić, Mario
Znanstveni i pregledni radovi, 2013.

Refinements and reverses of means inequalities for Hilbert space operators

Hirzallah, Omar ; Kittaneh, Fuad ; Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
Znanstveni i pregledni radovi, 2013.

Improved Heinz inequalities via the Jensen functional

Krnić, Mario ; Pečarić, Josip
Znanstveni i pregledni radovi, 2013.

Hilbert-type inequalities for Hilbert space operators

Krnić, Mario
Znanstveni i pregledni radovi, 2013.

Refined Heinz operator inequalities

Kittaneh, Fuad ; Krnić, Mario
Znanstveni i pregledni radovi, 2013.

On the properties of McShane's functional and their applications

Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
Znanstveni i pregledni radovi, 2013.

Multidimensional Hilbert-type inequality on the weighted Orlicz spaces

Mario Krnić
Sažeci u zbornicima i časopisima, 2012.
5th Croatian Mathematical Congress

Recent Advances in Hilbert-type Inequalities

Krnić, Mario ; Pečarić, Josip ; Perić, Ivan ; Vuković, Predrag
Autorske knjige, 2012.

Superadditivity of some Jensen-type functionals

Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
Sažeci u zbornicima i časopisima, 2012.
5th Croatian Mathematical Congress

On the multidimensional Hilbert-type inequalities involving the Hardy operator

Krnić, Mario
Znanstveni i pregledni radovi, 2012.

On a multidimensional version of the Hilbert-type inequality

Krnić, Mario ; Vuković, Predrag
Znanstveni i pregledni radovi, 2012.

A refined discrete Hilbert inequality via the Hermite-Hadamard inequality

Krnić, Mario
Znanstveni i pregledni radovi, 2012.

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

Butt, Saad Ihsan ; Krnić, Mario ; Pečarić, Josip
Znanstveni i pregledni radovi, 2012.

On some refinements and converses of multidimensional Hilbert-type inequalities


Znanstveni i pregledni radovi, 2012.
Krnić, Mario

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

Bicheng, Yang ; Krnić, Mario
Znanstveni i pregledni radovi, 2012.

Multidimensional Hilbert-type inequality on the weighted Orlicz spaces

Krnić, Mario
Znanstveni i pregledni radovi, 2012.

On some properties of Jensen-Mercer's functional

Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
Znanstveni i pregledni radovi, 2012.

Eigenvalue inequalities for differences of means of Hilbert space operators

Hirzzalah, Omar ; Kittaneh, Fuad ; Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
Znanstveni i pregledni radovi, 2012.

Multidimensional Jensen's operator on a Hilbert space and applications

Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
Znanstveni i pregledni radovi, 2012.

Jessen's functional, its properties and applications

Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
Znanstveni i pregledni radovi, 2012.

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

Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
Znanstveni i pregledni radovi, 2012.

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

Kittaneh, Fuad ; Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
Znanstveni i pregledni radovi, 2012.

On the norm of a multidimensional Hilbert-type operator

Bicheng, Yang ; Krnić, Mario
Znanstveni i pregledni radovi, 2011.

On Some Properties of Jensen-Steffensen's Functional

Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
Znanstveni i pregledni radovi, 2011.

Discrete Hilbert-type inequalities with general homogeneous kernels

Krnić, Mario ; Pečarić, Josip ; Vuković, Predrag
Znanstveni i pregledni radovi, 2011.

General Hardy-type inequalities with non-onjugate exponents

Čižmešija, Aleksandra ; Krnić, Mario ; Pečarić, Josip
Znanstveni i pregledni radovi, 2011.

Mathematics 3, Vector analysis

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

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

Bicheng Yang ; Krnić, Mario
Znanstveni i pregledni radovi, 2010.

Mathematical Competitions 2008./2009.

Hanjš, Željko ; Krnić, Mario
Autorske knjige, 2010.

Hilbert inequalities related to generalized hypergeometric functions

Krnić, Mario
Sažeci u zbornicima i časopisima, 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
Znanstveni i pregledni radovi, 2009.

Hilbert inequality and Gaussian hypergeometric functions

Krnić, Mario
Znanstveni i pregledni radovi, 2009.

Mathematical Competitions 2007/2008

Hanjš, Željko ; Krnić, Mario
Autorske knjige, 2009.

Hilbert inequality and Gaussian hypergeometric functions

Krnić, Mario
Sažeci u zbornicima i časopisima, 2008.
Mathematical Inequalities and Applications

Extension of Hilbert's Inequality

Krnić, Mario ; Pečarić, Josip
Sažeci u zbornicima i časopisima, 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
Sažeci u zbornicima i časopisima, 2008.
Mathematical Conference, 85 Years of Professor Blagoj Popov Life

Hilbert Inequalities Related to Generalized Hypergeometric Functions mFn

Krnić, Mario ; Tomovski Živorad ; Pečarić Josip
Znanstveni i pregledni radovi, 2008.

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

Krnić, Mario ; Pečarić, Josip ; Vuković, Predrag
Znanstveni i pregledni radovi, 2008.

General Hilbert-Type Inequalities with Non-conjugate Exponents

Čižmešija, Aleksandra ; Krnić, Mario ; Pečarić, Josip
Znanstveni i pregledni radovi, 2008.

Mathematical Competitions 2006/2007

Hanjš, Željko ; Krnić, Mario
Autorske knjige, 2008.

A Hilbert inequality and an Euler-Maclaurin summation formula

Krnić, Mario ; Pečarić, Josip
Znanstveni i pregledni radovi, 2007.

Mathematics competitions 2005/2006

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

Some remarks on reverse Hilbert and Hardy-Hilbert type inequalities

Krnić, Mario ; Pečarić, Josip ; Vuković Predrag
Znanstveni i pregledni radovi, 2007.

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

Krnić, Mario ; Pečarić, Josip
Znanstveni i pregledni radovi, 2007.

Some improvements on general Hilbert inequality

Krnić, Mario ; Pečarić Josip
Znanstveni i pregledni radovi, 2007.

Extension of Hilbert's inequality

Krnić, Mario ; Pečarić Josip
Znanstveni i pregledni radovi, 2006.

Mathematical Competitions 2004/2005

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

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

Brnetić, Ilko ; Krnić, Mario ; Pečarić, Josip
Znanstveni i pregledni radovi, 2005.

General Hilbert's and Hardy's inequalities

Krnić, Mario ; Pečarić, Josip
Znanstveni i pregledni radovi, 2005.

On the Best Constant in Hilbert's Inequality

Krnić, Mario ; Mingzhe, Gao ; Pečarić, Josip ; Xuemei, Gao
Znanstveni i pregledni radovi, 2005.

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

Bicheng, Yang ; Brnetić, Ilko ; Krnić, Mario ; Pečarić, Josip
Znanstveni i pregledni radovi, 2005.

Hilbert's inequalities and their reverses

Krnić, Mario ; Pečarić, Josip
Znanstveni i pregledni radovi, 2005.

On some inequalities of Hilbert's type

Krnić, Mario
Doktorske disertacije, 2004.

General Hilbert's inequalities with non-conjugate parameters

Čižmešija, Aleksandra ; Krnić, Mario ; Pečarić, Josip
Sažeci u zbornicima i časopisima, 2004.
Third Croatian Congress of Mathematics

General Hilbert's and Hardy-Hilbert's Inequality

Brnetić, Ilko ; Krnić, Mario ; Pečarić, Josip
Sažeci u zbornicima i časopisima, 2004.
Third Croatian Congress of Mathematics

The pigenhole principle

Krnić, Mario
Autorske knjige, 2001.

Representations of braid groups and quantum groups

Krnić, Mario
Magistarski radovi, 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