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