A Refinement of the Integral Jensen Inequality Pertaining Certain Functions with Applications-Reference-Cited by-同舟云学术

A Refinement of the Integral Jensen Inequality Pertaining Certain Functions with Applications

Published:2022-07-30 Issue: Volume:2022 Page:1-11
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Sayed Zaid Mohammed Mohammed Mahdi¹²^ORCID,Adil Khan Muhammad²^ORCID,Khan Shahid²,Pečarić Josip³

Affiliation:

1. Department of Mathematics, University of Sa’adah, Sa’adah 1872, Yemen

2. Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan

3. Department of Mathematical, Physical and Chemical Sciences, Croatian Academy of Sciences and Arts, Zrinski trg 11, 10000 Zagreb, Croatia

Abstract

In this paper, we present a new refinement of the integral Jensen inequality by utilizing certain functions and give its applications to various means. We utilize the refinement to obtain some new refinements of the Hermite-Hadamard and Hölder’s inequalities as well. Also, we present its applications in information theory. At the end of this paper, we give a more general form of the proposed refinement of the Jensen inequality, associated to several functions.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/8396644.pdf

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