Some new dynamic inequalities for Bmonotone functions with respect to time scales nabla calculus
Jensentype inequalities in terms of Lipschitzianity
Upper bounds for the norm of the sum and Kronecker product of Hilbert space operators
Improving Jensentype inequalities via the sum of the Lidstone polynomials
A class of more accurate Hilberttype inequalities involving partial sums
On further refinements of the Jensen inequality and applications
Exact Exponents for Inclusion of Discrete Muckenhoupt classes into Gehring classes and Reverse
On superquadratic and logarithmically superquadratic functions
More accurate Jensentype inequalities based on the Lidstone interpolation formula
Application of the Fink identity to Jensentype inequalities for higher order convex functions
A unified approach to dynamic Hardytype and Copsontype inequalities
Jensentype inequalities, Montgomery identity and higher order convexity
Some new discrete Copsontype inequalities involving a generalized Riesz mean operator
Some new characterizations of inner product spaces in terms of the pangular distance
Some further properties of discrete Muckenhoupt and Gehring weights
Estimates for the pangular distance and characterizations of inner product spaces
Sharp SelfImproving property of Discrete Muckenhoupt and Gehring Weights
Bounds for the pangular distance and characterizations of inner product spaces
A class of fractal Hilberttype inequalities obtained via Cantortype spherical coordinates
Characterizations of inner product spaces via angular distances and CauchySchwarz inequality
The weighted discrete Gehring classes, Muckenhoupt classes and their basic properties
Some new weighted dynamic inequalities for monotone functions involving kernels
Multidimensional Hilberttype inequalities obtained via local fractional calculus
Some Steffensentype inequalities over time scale measure spaces
Some new dynamic Hardytype inequalities with kernels involving monotone functions
External Jensentype operator inequalities via superquadraticity
A unified approach to fractal Hilberttype inequalities
Higher summability theorems from the weighted reverse discrete inequalities
Double precision of the Jensentype operator inequalities for bounded and Lipschitzian functions
More accurate dynamic Hardytype inequalities obtained via superquadraticity
Jensentype operator inequalities for bounded, Lipschitzian and higher order convex functions
Higher integrability theorems on time scales from reverse Holder's inequalities
A unified treatment of HilbertPachpattetype inequalities for a class of nonhomogeneous kernels
Mutual bounds for Jensentype operator inequalities related to higher order convexity
More accurate classes of Jensentype inequalities for convex and operator convex functions
More accurate Hilberttype inequalities in a difference form
More accurate Jensentype inequalities for signed measures
Advanced refinements of Hilberttype inequalities in a difference form
Improved Jensentype inequalities for operators and matrices based on linear interpolation
Interpolating Jensentype operator inequalities for logconvex and superquadratic functions
A unified treatment of HilbertPachpattetype inequalities for a class of nonhomogeneous kernels
More accurate Jensentype inequalities for signed measures characterized via Green function and applications
Further Development of Hilberttype Inequalities
A class of Hilberttype inequalities obtained via the improved Young inequality
Improved Jensentype inequalities via linear interpolation and applications
More accurate Jensentype inequalities obtained via linear interpolation and applications
Strengthened converses of the Jensen and Edmundson LahRibarič inequalities
More accurate converses of the Jensen and the LahRibarič operator inequality
Multiple Hilberttype inequalities involving some differential operators
Reverse Youngtype inequalities for matrices and operatorss
The best constants in multidimensional Hilberttype inequalities involving some weighted means operators
Improved variants of Young, Heinz and Hölder inequalities for matrices
Superadditivity of the Levinson functional and applications
On some new converses of the Jensen and the LahRibarič operator inequality
More accurate Young, Heinz, and Holder inequalities for matrices
Superadditivity of the Levinson functional and applications
Yet another method for bounding Jensen's functional for the operators on a Hilbert space
Hilberttype inequalities involving differential operators, the best constants, and applications
Superadditivity and monotonicity of the Jensentype functionals (New methods for improving the Jensentype inequalities in real and in operator cases)
Weighted Montgomery identity for fractional integral of a function with respect to another function
More precise weak majorization relations for the Jensen inequality and applications
Halfdiscrete Hilberttype inequalities involving differential operators
On more accurate Hilberttype inequalities in finite measure spaces
Superadditivity of the Jensentype functionals and applications
On a more accurate class of discrete Hilberttype inequalities
On a strengthened multidimensional Hilberttype inequality
More accurate weak majorization relations for the Jensen and some related inequalities
On the eigenvalue inequalities for differences of means of Hilbert space operators
More precise estimates for the Jensen operator inequality obtained via the LahRibarič inequality
Jensentype functionals for the operators on a Hilbert space
Halfdiscrete Hilberttype inequalities with mean operators, the best constants, and applications
A halfdiscrete version of the Mulholland inequality
A strengthened form of a general Hardytype inequality obtained via superquadraticity and its applications
On the properties of McShane's functional and their applications
On some multidimensional Hilberttype inequalities in a discrete case
A unified treatment of halfdiscrete Hilberttype inequalities with a homogeneous kernel
Refinements and reverses of means inequalities for Hilbert space operators
Improved Heinz inequalities via the Jensen functional
On several new Hilberttype inequalities involving means operators
On Some Improvements of Hoelder's Inequality
Hilberttype inequalities for Hilbert space operators
Refined Heinz operator inequalities
On some properties of JensenMercer's functional
On the multidimensional Hilberttype inequalities involving the Hardy operator
Jensen's Operator and Applications to Mean Inequalities for Operators in Hilbert Space
On a multidimensional version of the Hilberttype inequality
Superadditivity of the Jensentype functionals and applications
Jessen's functional, its properties and applications
Multidimensional Jensen's operator on a Hilbert space and applications
Superadditivity of some Jensentype functionals
Multidimensional Hilberttype inequality on the weighted Orlicz spaces
Multidimensional Hilberttype inequality on the weighted Orlicz spaces
Improved arithmeticgeometric and Heinz means inequalities for Hilbert space operators
A HalfDiscrete HilbertType Inequality with a General Homogeneous Kernel of Degree 0
A refined discrete Hilbert inequality via the HermiteHadamard inequality
Superadditivity, monotonicity and exponential convexity of the Petrovictype functionals
On some refinements and converses of multidimensional Hilberttype inequalities
Eigenvalue inequalities for differences of means of Hilbert space operators
On the norm of a multidimensional Hilberttype operator
On Some Properties of JensenSteffensen's Functional
Discrete Hilberttype inequalities with general homogeneous kernels
Generalizations and refinements of the JensenSteffensen and its associated inequalities
General Hardytype inequalities with nononjugate exponents
Mathematics 3, Vector analysis
Hilberttype inequalities and related operators with homogeneous kernel of degree 0
Mathematical Competitions 2008./2009.
Mathematical Competitions 2007/2008
HardyHilbert type inequalities with fractional kernel in ${; ; ; \bf R}; ; ; ^n$
Hilbert inequality and Gaussian hypergeometric functions
Hilbert inequalities related to generalized hypergeometric functions
On some higherdimensional Hilbert's and HardyHilbert's integral inequalities with parameters
Hilbert inequality and Gaussian hypergeometric functions
Extension of Hilbert's Inequality
Hilbert Inequalities Related to Generalized Hypergeometric Functions mFn
On some higherdimensional Hilbert's and HardyHilbert's integral inequalities with parameters
General HilbertType Inequalities with Nonconjugate Exponents
Mathematical Competitions 2006/2007
Some improvements on general Hilbert inequality
A Hilbert inequality and an EulerMaclaurin summation formula
Some remarks on reverse Hilbert and HardyHilbert type inequalities
Mathematics competitions 2005/2006
On some general Hilbert's Inequalities with nonconjugate parameters
Extension of Hilbert's inequality
Mathematical Competitions 2004/2005
Multiple Hilbert and HardyHilbert inequalities with nonconjugate parameters
On the Best Constant in Hilbert's Inequality
General Hilbert's and Hardy's inequalities
Hilbert's inequalities and their reverses
Generalization of Hilbert's and HardyHilbert's Integral Inequality
General Hilbert's and HardyHilbert's Inequality
On some inequalities of Hilbert's type
General Hilbert's inequalities with nonconjugate parameters
Dirichletovo pravilo
Representations of braid groups and quantum groups
Teaching
University undergraduate
 Discrete Mathematics 1 (Lecturer in charge)
 Discrete Mathematics 1 (Lecturer in charge)
 Discrete Mathematics 2 (Lecturer in charge, Lecturer in charge)
 Discrete Mathematics 2 (Lecturer in charge)
 Probability and Statistics (Lecturer in charge)
 Probability and Statistics (Lecturer in charge)
 BSc Thesis (Lecturers)
 Final BSc Thesis (Lecturers)
 Project C (Lecturers)
 Software Design Project (Lecturers)
 Software Design Project (Lecturers)
University graduate
 Graduation Thesis (Lecturers)
 Graduation Thesis (Lecturers)
 Project (Lecturers)
 Project (Lecturers)
 Project (Lecturers)
 Project (Lecturers)
 Seminar 1 (Lecturers)
 Seminar 2 (Lecturers)
Postgraduate doctoral study programme
 Integral and Discrete Transformations with Wavelet Theory (Lecturer in charge)
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 Lognormal distribution MaxwellBoltzmann 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 KarhunenLoeve transforms Poincare invariance Wavelet transforms 
Computers and information processing
Mathematics computing Matlab