Pristupačnost
Some new dynamic inequalities for B-monotone functions with respect to time scales nabla calculus
Jensen-type inequalities in terms of Lipschitzianity
Upper bounds for the norm of the sum and Kronecker product of Hilbert space operators
Improving Jensen-type inequalities via the sum of the Lidstone polynomials
A class of more accurate Hilbert-type 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 Jensen-type inequalities based on the Lidstone interpolation formula
Application of the Fink identity to Jensen-type inequalities for higher order convex functions
A unified approach to dynamic Hardy-type and Copson-type inequalities
Jensen-type inequalities, Montgomery identity and higher order convexity
Some new discrete Copson-type inequalities involving a generalized Riesz mean operator
Some new characterizations of inner product spaces in terms of the p-angular distance
Some further properties of discrete Muckenhoupt and Gehring weights
Estimates for the p-angular distance and characterizations of inner product spaces
Sharp Self-Improving property of Discrete Muckenhoupt and Gehring Weights
Bounds for the p-angular distance and characterizations of inner product spaces
A class of fractal Hilbert-type inequalities obtained via Cantor-type spherical coordinates
Characterizations of inner product spaces via angular distances and Cauchy-Schwarz inequality
The weighted discrete Gehring classes, Muckenhoupt classes and their basic properties
Some new weighted dynamic inequalities for monotone functions involving kernels
Multidimensional Hilbert-type inequalities obtained via local fractional calculus
Some Steffensen-type inequalities over time scale measure spaces
Some new dynamic Hardy-type inequalities with kernels involving monotone functions
External Jensen-type operator inequalities via superquadraticity
A unified approach to fractal Hilbert-type inequalities
Higher summability theorems from the weighted reverse discrete inequalities
Double precision of the Jensen-type operator inequalities for bounded and Lipschitzian functions
More accurate dynamic Hardy-type inequalities obtained via superquadraticity
Jensen-type 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 Hilbert-Pachpatte-type inequalities for a class of non-homogeneous kernels
Mutual bounds for Jensen-type operator inequalities related to higher order convexity
More accurate classes of Jensen-type inequalities for convex and operator convex functions
More accurate Hilbert-type inequalities in a difference form
More accurate Jensen-type inequalities for signed measures
Advanced refinements of Hilbert-type inequalities in a difference form
Improved Jensen-type inequalities for operators and matrices based on linear interpolation
Interpolating Jensen-type operator inequalities for log-convex and superquadratic functions
A unified treatment of Hilbert-Pachpatte-type inequalities for a class of non-homogeneous kernels
More accurate Jensen-type inequalities for signed measures characterized via Green function and applications
Further Development of Hilbert-type Inequalities
A class of Hilbert-type inequalities obtained via the improved Young inequality
Improved Jensen-type inequalities via linear interpolation and applications
More accurate Jensen-type inequalities obtained via linear interpolation and applications
Strengthened converses of the Jensen and Edmundson- Lah-Ribarič inequalities
More accurate converses of the Jensen and the Lah-Ribarič operator inequality
Multiple Hilbert-type inequalities involving some differential operators
Reverse Young-type inequalities for matrices and operatorss
The best constants in multidimensional Hilbert-type 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 Lah-Ribarič 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
Hilbert-type inequalities involving differential operators, the best constants, and applications
Superadditivity and monotonicity of the Jensen-type functionals (New methods for improving the Jensen-type 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
Half-discrete Hilbert-type inequalities involving differential operators
On more accurate Hilbert-type inequalities in finite measure spaces
Superadditivity of the Jensen-type functionals and applications
On a more accurate class of discrete Hilbert-type inequalities
On a strengthened multidimensional Hilbert-type 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 Lah-Ribarič inequality
Jensen-type functionals for the operators on a Hilbert space
Half-discrete Hilbert-type inequalities with mean operators, the best constants, and applications
A half-discrete version of the Mulholland inequality
A strengthened form of a general Hardy-type inequality obtained via superquadraticity and its applications
On the properties of McShane's functional and their applications
On some multidimensional Hilbert-type inequalities in a discrete case
A unified treatment of half-discrete Hilbert-type 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 Hilbert-type inequalities involving means operators
On Some Improvements of Hoelder's Inequality
Hilbert-type inequalities for Hilbert space operators
Refined Heinz operator inequalities
On some properties of Jensen-Mercer's functional
On the multidimensional Hilbert-type inequalities involving the Hardy operator
Jensen's Operator and Applications to Mean Inequalities for Operators in Hilbert Space
On a multidimensional version of the Hilbert-type inequality
Superadditivity of the Jensen-type functionals and applications
Jessen's functional, its properties and applications
Multidimensional Jensen's operator on a Hilbert space and applications
Superadditivity of some Jensen-type functionals
Multidimensional Hilbert-type inequality on the weighted Orlicz spaces
Multidimensional Hilbert-type inequality on the weighted Orlicz spaces
Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators
A Half-Discrete Hilbert-Type Inequality with a General Homogeneous Kernel of Degree 0
A refined discrete Hilbert inequality via the Hermite-Hadamard inequality
Superadditivity, monotonicity and exponential convexity of the Petrovic-type functionals
On some refinements and converses of multidimensional Hilbert-type inequalities
Eigenvalue inequalities for differences of means of Hilbert space operators
On the norm of a multidimensional Hilbert-type operator
On Some Properties of Jensen-Steffensen's Functional
Discrete Hilbert-type inequalities with general homogeneous kernels
Generalizations and refinements of the Jensen-Steffensen and its associated inequalities
General Hardy-type inequalities with non-onjugate exponents
Mathematics 3, Vector analysis
Hilbert-type inequalities and related operators with homogeneous kernel of degree 0
Mathematical Competitions 2008./2009.
Mathematical Competitions 2007/2008
Hardy-Hilbert type inequalities with fractional kernel in ${; ; ; \bf R}; ; ; ^n$
Hilbert inequality and Gaussian hypergeometric functions
Hilbert inequalities related to generalized hypergeometric functions
On some higher-dimensional Hilbert's and Hardy-Hilbert'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 higher-dimensional Hilbert's and Hardy-Hilbert's integral inequalities with parameters
General Hilbert-Type Inequalities with Non-conjugate Exponents
Mathematical Competitions 2006/2007
Some improvements on general Hilbert inequality
A Hilbert inequality and an Euler-Maclaurin summation formula
Some remarks on reverse Hilbert and Hardy-Hilbert type inequalities
Mathematics competitions 2005/2006
On some general Hilbert's Inequalities with non-conjugate parameters
Extension of Hilbert's inequality
Mathematical Competitions 2004/2005
Multiple Hilbert and Hardy-Hilbert inequalities with non-conjugate 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 Hardy-Hilbert's Integral Inequality
General Hilbert's and Hardy-Hilbert's Inequality
On some inequalities of Hilbert's type
General Hilbert's inequalities with non-conjugate 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 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