Pristupačnost
Some new characterizations of inner product spaces in terms of the p-angular distance
Jensen-type inequalities, Montgomery identity and higher order convexity
A unified approach to dynamic Hardy-type and Copson-type inequalities
Some further properties of discrete Muckenhoupt and Gehring weights
Estimates for the p-angular 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 Cauchy-Schwarz inequality
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
Sharp Self-Improving property of Discrete Muckenhoupt and Gehring Weights
Some new weighted dynamic inequalities for monotone functions involving kernels
Multidimensional Hilbert-type inequalities obtained via local fractional calculus
Some new dynamic Hardy-type inequalities with kernels involving monotone functions
External Jensen-type operator inequalities via superquadraticity
Some Steffensen-type inequalities over time scale measure spaces
Jensen-type operator inequalities for bounded, Lipschitzian and higher order convex functions
Double precision of the Jensen-type operator inequalities for bounded and Lipschitzian functions
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 dynamic Hardy-type inequalities obtained via superquadraticity
A unified approach to fractal Hilbert-type inequalities
Higher summability theorems from the weighted reverse discrete inequalities
Higher integrability theorems on time scales from reverse Holder's inequalities
Improved Jensen-type inequalities for operators and matrices based on linear interpolation
A unified treatment of Hilbert-Pachpatte-type inequalities for a class of non-homogeneous kernels
Advanced refinements of Hilbert-type inequalities in a difference form
More accurate classes of Jensen-type inequalities for convex and operator convex functions
Interpolating Jensen-type operator inequalities for log-convex and superquadratic functions
More accurate Jensen-type inequalities for signed measures
More accurate Hilbert-type inequalities in a difference form
More accurate Jensen-type inequalities obtained via linear interpolation and applications
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 for signed measures characterized via Green function and applications
Further Development of Hilbert-type Inequalities
More accurate converses of the Jensen and the Lah-Ribarič operator inequality
Reverse Young-type inequalities for matrices and operatorss
Multiple Hilbert-type inequalities involving some differential operators
Strengthened converses of the Jensen and Edmundson- Lah-Ribarič inequalities
The best constants in multidimensional Hilbert-type inequalities involving some weighted means operators
Hilbert-type inequalities involving differential operators, the best constants, 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
Superadditivity and monotonicity of the Jensen-type functionals (New methods for improving the Jensen-type inequalities in real and in operator cases)
Improved variants of Young, Heinz and Hölder inequalities for matrices
Superadditivity of the Levinson functional and applications
Half-discrete Hilbert-type inequalities involving differential operators
On a strengthened multidimensional Hilbert-type inequality
A half-discrete version of the Mulholland inequality
On more accurate Hilbert-type inequalities in finite measure spaces
Weighted Montgomery identity for fractional integral of a function with respect to another function
Half-discrete Hilbert-type inequalities with mean operators, the best constants, and applications
On a more accurate class of discrete Hilbert-type inequalities
More accurate weak majorization relations for the Jensen and some related inequalities
Jensen-type 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 Lah-Ribarič inequality
More precise weak majorization relations for the Jensen inequality and applications
Superadditivity of the Jensen-type functionals and applications
Half-discrete Hilbert-type inequalities involving differential operators
On the properties of McShane's functional and their applications
Refined Heinz operator inequalities
Hilbert-type 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 Hardy-type inequality obtained via superquadraticity and its applications
A unified treatment of half-discrete Hilbert-type inequalities with a homogeneous kernel
On several new Hilbert-type inequalities involving means operators
On some multidimensional Hilbert-type inequalities in a discrete case
On Some Improvements of Hoelder's Inequality
Improved arithmetic-geometric 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 Jensen-Mercer's functional
Multidimensional Hilbert-type inequality on the weighted Orlicz spaces
A Half-Discrete Hilbert-Type Inequality with a General Homogeneous Kernel of Degree 0
On some refinements and converses of multidimensional Hilbert-type inequalities
Superadditivity, monotonicity and exponential convexity of the Petrovic-type functionals
A refined discrete Hilbert inequality via the Hermite-Hadamard inequality
On a multidimensional version of the Hilbert-type inequality
On the multidimensional Hilbert-type inequalities involving the Hardy operator
Superadditivity of some Jensen-type functionals
Multidimensional Hilbert-type inequality on the weighted Orlicz spaces
General Hardy-type inequalities with non-onjugate exponents
Discrete Hilbert-type inequalities with general homogeneous kernels
On Some Properties of Jensen-Steffensen's Functional
On the norm of a multidimensional Hilbert-type operator
Mathematical Competitions 2008./2009.
Hilbert-type inequalities and related operators with homogeneous kernel of degree 0
Mathematics 3, Vector analysis
Mathematical Competitions 2007/2008
Hilbert inequality and Gaussian hypergeometric functions
Hardy-Hilbert type inequalities with fractional kernel in ${; ; ; \bf R}; ; ; ^n$
Hilbert inequalities related to generalized hypergeometric functions
Mathematical Competitions 2006/2007
General Hilbert-Type Inequalities with Non-conjugate Exponents
On some higher-dimensional Hilbert's and Hardy-Hilbert's integral inequalities with parameters
Hilbert Inequalities Related to Generalized Hypergeometric Functions mFn
On some higher-dimensional Hilbert's and Hardy-Hilbert'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 non-conjugate parameters
Some remarks on reverse Hilbert and Hardy-Hilbert type inequalities
Mathematics competitions 2005/2006
A Hilbert inequality and an Euler-Maclaurin summation formula
Mathematical Competitions 2004/2005
Extension of Hilbert's inequality
Hilbert's inequalities and their reverses
Generalization of Hilbert's and Hardy-Hilbert's Integral Inequality
On the Best Constant in Hilbert's Inequality
General Hilbert's and Hardy's inequalities
Multiple Hilbert and Hardy-Hilbert inequalities with non-conjugate parameters
General Hilbert's and Hardy-Hilbert's Inequality
General Hilbert's inequalities with non-conjugate 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
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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