Some Dynamic Inequalities via Diamond Integrals for Function of Several Variables-Reference-Cited by-同舟云学术

Some Dynamic Inequalities via Diamond Integrals for Function of Several Variables

Published:2021-11-11 Issue:4 Volume:5 Page:207
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Bilal Muhammad^ORCID,Khan Khuram Ali^ORCID,Ahmad Hijaz^ORCID,Nosheen Ammara^ORCID,Awan Khalid Mahmood^ORCID,Askar Sameh^ORCID,Alharthi Mosleh

Abstract

In this paper, Jensen’s inequality and Fubini’s Theorem are extended for the function of several variables via diamond integrals of time scale calculus. These extensions are used to generalize Hardy-type inequalities with general kernels via diamond integrals for the function of several variables. Some Hardy Hilbert and Polya Knop type inequalities are also discussed as special cases. Classical and new inequalities are deduced from the main results using special kernels and particular time scales.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/5/4/207/pdf

Reference26 articles.

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5. Multidimensional Hardy-type inequalities with general kernels

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