On Some Generalized Number Theoretic Functions and Ighachane-Akkouchi Holder's Inequalities

Atale, Omprakash (2022) On Some Generalized Number Theoretic Functions and Ighachane-Akkouchi Holder's Inequalities. Asian Research Journal of Mathematics, 18 (10). pp. 40-65. ISSN 2456-477X

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Official URL: https://doi.org/10.9734/arjom/2022/v18i1030417

Abstract

Aims/ Objectives: Recently, it has been shown by Ighachane and Akkouchi [1] that using binomial coefficients, one can derive some new refinements of Holder’s inequalities. This inequalities then can be applied to a wide class of special functions such as the Nielsen’s beta function and some extended gamma functions. In this paper, we have derived some generalizations of previously known number theoretic functions. Furthermore, based on the results of Ighachane and Akkouchi, Holder’s inequalities for the derived generalized functions are established.

Item Type:	Article
Subjects:	Oalibrary Press > Mathematical Science
Depositing User:	Managing Editor
Date Deposited:	25 Feb 2023 08:15
Last Modified:	24 Apr 2024 08:53
URI:	http://asian.go4publish.com/id/eprint/1361

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