HARDY–HILBERT TYPE INEQUALITIES ON HOMOGENEOUS GROUPS–AN INTRODUCTION AND GENERALIZATION TO THE KERNEL CASE Markos Fisseha Yimer, Lars-Erik Persson, Michael Ruzhansky, Natasha Samko, Tsegaye Gedif Ayele Mathematical Inequalities and Applications, 2025 There is a lot of information available concerning Hardy-Hilbert type inequalities in one or more dimensions. In this paper we introduce the development of such inequalities on homogeneous groups. Moreover, we point out a unification of several of the Hardy-Hilbert type inequalities in the classical case to a general kernel case. Finally, we generalize these results to the homogeneous group case.
Some New Integral Inequalities via Strong Convexity Markos Fisseha Yimer Journal of Applied Mathematics, 2025 We prove some new refined inequalities by using strong convexity. Some refinements of the Chebyšhev’s inequality are considered.
On Cochran-Lee and Hardy-type Inequalities in Some Classical and Homogeneous Group Cases Markos Fisseha Yimer, Lars-Erik Persson, Tsegaye Gedif Ayele Trends in Mathematics, 2024 A weighted multidimensional Cochran-Lee inequality is characterized in the frame of Hardy-type inequalities with parameters $$0<p\leq q<\infty $$ . Moreover, for the case $$p=q$$ and power weights, even the sharp constant is derived, thus generalizing the original Cochran-Lee inequality to a multidimensional setting. As an application, new inequalities are pointed out. Finally, some related Hardy-type inequalities on homogeneous groups are presented.
SOME NEW MULTIDIMENSIONAL COCHRAN–LEE AND HARDY TYPE INEQUALITIES Markos Yimer, Lars-Erik Persson, Tsegaye Gedif Ayele Mathematical Inequalities and Applications, 2023 A multidimensional Cochran-Lee operator is introduced and investigated in the frame of Hardy-type inequalities with parameters 0 < p q < . Moreover, for the case p = q and power weights even the sharp constant is derived, thus generalizing the original Cochran-Lee inequality to a multidimensional setting. As applications both several known but also new inequalities are pointed out.
Refinements of some classical inequalities via superquadraticity Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec, Markos Fisseha Yimer Journal of Inequalities and Applications, 2022 Some new refined versions of the Jensen, Minkowski, and Hardy inequalities are stated and proved. In particular, these results both generalize and unify several results of this type. Some results are also new for the classical situation.
SOME HARDY-TYPE INEQUALITIES IN BANACH FUNCTION SPACES Sorina Barza, Ludmila Nikolova, Lars-Erik Persson, Markos Yimer Mathematical Inequalities and Applications, 2021 Some new inequalities of Hardy-type in Banach function space settings are proved and discussed. In particular, these results generalize and unify several classical Hardy-type inequalities. Some results are new also in the classical situation.
RECENT SCHOLAR PUBLICATIONS
Some New Integral Inequalities via Strong Convexity MF Yimer Journal of Applied Mathematics 2025 (1), 5 , 2025 2025
Hardy-Hilbert type inequalities on homogeneous groups-An introduction and generalization to the kernel case M Fisseha Yimer, LE Persson, M Ruzhansky, N Samko, T Gedif Ayele Mathematical Inequalities & Applications 28 (2), 239-255 , 2025 2025
Levin–Cochran–Lee inequalities and best constants on homogeneous groups M Ruzhansky, MF Yimer Aequationes mathematicae 99 (4), 1603-1623 , 2025 2025 Citations: 1
On the prehistory, history, and a convexity approach to prove Hardy-type inequalities FG Aycheah, LE Persson, MF Yimer, TG Ayele Conference of Analysis in Developing Countries, 57-71 , 2024 2024 Citations: 1
On Cochran-Lee and Hardy-type Inequalities in Some Classical and Homogeneous Group Cases MF Yimer, LE Persson, TG Ayele Methusalem Workshop on Classical Analysis and PDEs, 185-190 , 2024 2024
Integral Equations and Inequalities with Refinements of some Classical Results. MF Yimer PhD Thesis, vii+124 pp. , 2024 2024
Analysis of two-operator boundary-domain integral equations for variable-coefficient Dirichlet and Neumann problems in 2D with general right-hand side MF Yimer, TG Ayele SINET: Ethiopian Journal of Science 46 (2), 109-130 , 2023 2023
Two-Operator Boundary-Domain Integral Equations for TG Ayele, MF Yimer Integral Methods in Science and Engineering: Analytic and Computational … , 2023 2023
SOME NEW MULTIDIMENSIONAL COCHRAN-LEE AND HARDY TYPE INEQUALITIES. MF Yimer, LE Persson, TG Ayele Mathematical Inequalities & Applications 26 (4) , 2023 2023 Citations: 4
Two-Operator Boundary-Domain Integral Equations for Variable-Coefficient Dirichlet Problem in 2D with General Right-Hand Side TGAMF Yimer 2023
Some New Contributions in the Theory of Hardy Type Inequalities MF Yimer Karlstads universitet , 2023 2023
Refinements of some classical inequalities via superquadraticity L Nikolova, LE Persson, S Varošanec, MF Yimer Journal of inequalities and applications 2022 (1), 86 , 2022 2022 Citations: 9
Some Hardy-type inequalities in Banach function spaces S Barza, L Nikolova, LE Persson, M Yimer Math. Inequal. Appl 24 (4 (2021)), 1001-1016 , 2021 2021 Citations: 6
MOST CITED SCHOLAR PUBLICATIONS
Refinements of some classical inequalities via superquadraticity L Nikolova, LE Persson, S Varošanec, MF Yimer Journal of inequalities and applications 2022 (1), 86 , 2022 2022 Citations: 9
Some Hardy-type inequalities in Banach function spaces S Barza, L Nikolova, LE Persson, M Yimer Math. Inequal. Appl 24 (4 (2021)), 1001-1016 , 2021 2021 Citations: 6
SOME NEW MULTIDIMENSIONAL COCHRAN-LEE AND HARDY TYPE INEQUALITIES. MF Yimer, LE Persson, TG Ayele Mathematical Inequalities & Applications 26 (4) , 2023 2023 Citations: 4
Levin–Cochran–Lee inequalities and best constants on homogeneous groups M Ruzhansky, MF Yimer Aequationes mathematicae 99 (4), 1603-1623 , 2025 2025 Citations: 1
On the prehistory, history, and a convexity approach to prove Hardy-type inequalities FG Aycheah, LE Persson, MF Yimer, TG Ayele Conference of Analysis in Developing Countries, 57-71 , 2024 2024 Citations: 1
Some New Integral Inequalities via Strong Convexity MF Yimer Journal of Applied Mathematics 2025 (1), 5 , 2025 2025
Hardy-Hilbert type inequalities on homogeneous groups-An introduction and generalization to the kernel case M Fisseha Yimer, LE Persson, M Ruzhansky, N Samko, T Gedif Ayele Mathematical Inequalities & Applications 28 (2), 239-255 , 2025 2025
On Cochran-Lee and Hardy-type Inequalities in Some Classical and Homogeneous Group Cases MF Yimer, LE Persson, TG Ayele Methusalem Workshop on Classical Analysis and PDEs, 185-190 , 2024 2024
Integral Equations and Inequalities with Refinements of some Classical Results. MF Yimer PhD Thesis, vii+124 pp. , 2024 2024
Analysis of two-operator boundary-domain integral equations for variable-coefficient Dirichlet and Neumann problems in 2D with general right-hand side MF Yimer, TG Ayele SINET: Ethiopian Journal of Science 46 (2), 109-130 , 2023 2023
Two-Operator Boundary-Domain Integral Equations for TG Ayele, MF Yimer Integral Methods in Science and Engineering: Analytic and Computational … , 2023 2023
Two-Operator Boundary-Domain Integral Equations for Variable-Coefficient Dirichlet Problem in 2D with General Right-Hand Side TGAMF Yimer 2023
Some New Contributions in the Theory of Hardy Type Inequalities MF Yimer Karlstads universitet , 2023 2023
