NEW REFINEMENTS FOR INTEGRAL AND SUM FORMS OF GENERALIZED HÖLDER INEQUALITY FOR N TERM

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Muhammad Jakfar, Manuharawati, Dian Savitri

2022 Australian Journal of Mathematical Analysis and Applications Vol. 19 Issue 2 Article Cited by 0 Quartile

Abstract

We know that in the field of functional analysis, Hölder inequality is very well known, important, and very applicable. So many researchers are interested in discussing these inequalities. Many world mathematicians try to improve these inequalities. In general, the Hölder inequality has two forms, namely the integral form and the sum form. In this paper, we will introduce a new refinement of the generalization of Hölder inequalities in both integral and addition forms. Especially in the sum form, improvements will be introduced that are better than the previous improvements that have been published by Jing-feng Tian, Ming-hu Ha, and Chao Wang © 2022 Austral Internet Publishing. All rights reserved

Affiliations

Mathematics Department, Universitas Negeri Surabaya, Jalan Ketintang,Gedung C8, Surabaya, 60321, Indonesia