On symmetrized and Wright convexity-Reference-Cited by-同舟云学术

On symmetrized and Wright convexity

Published:2023 Issue:17 Volume:37 Page:5835-5846
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Moradi Hamid¹,Furuichi Shigeru²,Sababheh Mohammad³

Affiliation:

1. Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

2. Department of Information Science, College of Humanities and Sciences, Nihon University, Setagaya-ku, Tokyo, Japan

3. Department of basic sciences, Princess Sumaya University For Technology, Al Jubaiha, Amman, Jordan

Abstract

In this paper, we study symmetrized convex functions and their relations with other notions of convexity, namely Wright convexity; then, we introduce the notion of symmetrized log-convexity. Our results include equivalent statements and extensions of certain existing results in the literature. Applications that involve Hermite-Hadamard and means? inequalities will be presented.

Publisher

National Library of Serbia

Reference23 articles.

1. S. S. Dragomir, Bounds for the normalised Jensen functional, Bull. Austral. Math. Soc. 3 (2006), 471-478.

2. S. S. Dragomir, Symmetrized convexity and Hermite-Hadamard type inequalities, J. Math. Inequal. 10(4) (2016), 901-918.

3. A. El Farissi, M. Benbachir, and M. Dahmane, An extension of the Hermite-Hadamard inequality for convex symmetrized functions, Real Anal. Exchange 38(2) (2012/13), 467-474.

4. J. I. Fujii, An external version of the Jensen operator inequality, Sci. Math. Japon. Online, 2011: 59-62.

5. S. Furuichi, H. R. Moradi, Advances in mathematical inequalities, De Gruyter, 2020.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Further Jensen--Mercer's type inequalities for convex functions;Journal of Mathematical Inequalities;2024