On Some Fractional Hardy-Hilbert’s Integral Inequalities

doi:https://doi.org/10.31559/glm2019.6.1.5

Volume 6 - Issue 1 (5) | PP: 35 - 44 Language : English
DOI : https://doi.org/10.31559/glm2019.6.1.5

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On Some Fractional Hardy-Hilbert’s Integral Inequalities

Received Date	Revised Date	Accepted Date	Publication Date
16/1/2019	20/3/2019	15/5/2019	9/6/2019

Abstract

We focus our attention in this article on some recent results regarding Hardy-Hilbert’s inequalities. We derive an equivalent form using katugampola Fractional Calculus and introduce new analogs to some Hardy-Hilbert’s type inequality. Several special cases are also given.

Keywords: Katugampola fractional integral, Katugampola fractional derivative, Hardy-Hilbert’s inequality, Equivalent forms.

How To Cite This Article

, A. A. A. H. , M. S. E. & Shourrab , A. K. (2019). On Some Fractional Hardy-Hilbert’s Integral Inequalities . General Letters in Mathematics, 6 (1), 35-44, 10.31559/glm2019.6.1.5

Copyright © 2024, This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

On Some Fractional Hardy-Hilbert’s Integral Inequalities

Abstract

We focus our attention in this article on some recent results regarding Hardy-Hilbert&rsquo;s inequalities. We derive an equivalent form using katugampola Fractional Calculus and introduce new analogs to some Hardy-Hilbert&rsquo;s type inequality. Several special cases are also given.

Keywords: Katugampola fractional integral, Katugampola fractional derivative, Hardy-Hilbert’s inequality, Equivalent forms.

How To Cite This Article

We focus our attention in this article on some recent results regarding Hardy-Hilbert’s inequalities. We derive an equivalent form using katugampola Fractional Calculus and introduce new analogs to some Hardy-Hilbert’s type inequality. Several special cases are also given.