International Journal of Nonlinear Analysis and Applications

Some new refinements of the generalized Holder inequality and applications

Document Type : Research Paper

Authors

Department of Mathematics, Faculty of Sciences-Semlalia, University Cadi Ayyad, Av. Prince My. Abdellah, BP: 2390, Marrakesh (40.000-Marrakech), Morocco

Abstract

The main goal of this article is to present some new refinements of the generalized classical Holder's inequality. As applications, we present some refinements to several inequalities for the $(q,s)$-Polygamma functions, the $s$-Extension of Nielsen's $\beta$-function, the derivatives of the $s$-Extension of Nielsen's $\beta$-function, the extended Gamma function, the $r$-Gamma functions and the $r$-Riemann Zeta function.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 265-276
  • Receive Date: 13 April 2020
  • Revise Date: 15 November 2021
  • Accept Date: 15 December 2021