On some generalized number theoretic functions and Ighachanea-Akkouchia Holder's inequalities
Classical Analysis and ODEs
2022-08-24 v1
Abstract
Recently, it has been shown by Ighachanea and Akkouchia \cite{0.1} 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 Ighachanea and Akkouchia, Holder's inequalities for the derived generalized functions are established.
Keywords
Cite
@article{arxiv.2208.11093,
title = {On some generalized number theoretic functions and Ighachanea-Akkouchia Holder's inequalities},
author = {Omprakash Atale},
journal= {arXiv preprint arXiv:2208.11093},
year = {2022}
}
Comments
30 pages, Corresponding author email:- [email protected], Accepted for publication in the "Asian Research Journal of Mathematics" (ISSN: 2456-477X)