A5061093752- Mathematical Inequalities and Applications
- Functional Equations Stability Results
- Mathematical functions and polynomials
- Matrix Theory and Algorithms
- Mathematics and Applications
- Analytic and geometric function theory
- Holomorphic and Operator Theory
- Approximation Theory and Sequence Spaces
- Optimization and Variational Analysis
- Differential Equations and Boundary Problems
- Multi-Criteria Decision Making
- Advanced Banach Space Theory
- Numerical methods in inverse problems
- Nonlinear Differential Equations Analysis
- Spectral Theory in Mathematical Physics
- Iterative Methods for Nonlinear Equations
- Statistical Mechanics and Entropy
- Point processes and geometric inequalities
- Mathematical Approximation and Integration
- Advanced Statistical Methods and Models
- Fixed Point Theorems Analysis
- Fractional Differential Equations Solutions
- Advanced Harmonic Analysis Research
- Algebraic and Geometric Analysis
- Advanced Mathematical Modeling in Engineering
Victoria University
2016-2025
RMIT University
2024-2025
University of the Witwatersrand
2015-2024
Victoria School of Management
2014-2023
La Trobe University
2023
King Faisal University
2021-2022
University of Ha'il
2021
Office of Basic Energy Sciences
2021
ARC Centre of Excellence for Mathematical and Statistical Frontiers
2017-2021
Ankara University
2021
Some power inequalities for the numerical radius of a product two operators in Hilbert spaces with applications commutators and self-commutators are given. 2000 Mathematics Subject Classification. 47A12, 47A30, 47A63, 47B15
Some new inequalities of Grüss' type for functions selfadjoint operators in Hilbert spaces, under suitable assumptions the involved operators, are given. Several examples particular interest provided as well. 2000 Mathematics Subject Classification. 47A63, 47A99
An inequality of Hadamard's type for convex functions and on the co-ordinates defined in a rectangle from plane some applications are given.
An inequality of Hadamard’s type for convex functions and on the co-ordinates defined in a rectangle from plane some applications are given.
New inequalities for the general case of convex functions defined on linear spaces which improve famous Jensen's inequality are established. Particular instances in normed and complex real n -tuples given. Refinements Shannon's positivity Kullback-Leibler divergence obtained.
In this article, we extend some estimates of the right-hand side a Hermite-Hadamard-type inequality for preinvex functions. Then, generalization to functions several variables on invex subsets is introduced.
Some inequalities of Hermite-Hadamard type for h-convex functions defined on convex subsets in real or complex linear spaces are given.Applications norm provided as well.
Abstract In the article, we present several Hermite–Hadamard type inequalities for co-ordinated convex and quasi-convex functions give an application to product of moment two continuous independent random variables. Our results are generalizations some earlier results. Additionally, illustrative example on probability distribution is given support our
Some new Jensen's type inequalities for differentiable log-convex functions of selfadjoint operators in Hilbert spaces under suitable assumptions the involved are given. Applications particular cases interest also provided. 2000 Mathematics Subject Classification. 47A63, 47A99
A generalization of Ostrowski's inequality for mappings with bounded variation and applications in Numerical Analysis Euler's Beta function is given.