A New Advanced Class of Convex Functions with Related Results-Reference-Cited by-同舟云学术

A New Advanced Class of Convex Functions with Related Results

Published:2023-02-13 Issue:2 Volume:12 Page:195
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Khan Muhammad Adil¹^ORCID,Adnan ¹,Saeed Tareq²^ORCID,Nwaeze Eze R.³^ORCID

Affiliation:

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

2. Financial Mathematics and Actuarial Science (FMAS)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

3. Department of Mathematics and Computer Science, Alabama State University, Montgomery, AL 36101, USA

Abstract

It is the purpose of this paper to propose a novel class of convex functions associated with strong η-convexity. A relationship between the newly defined function and an earlier generalized class of convex functions is hereby established. To point out the importance of the new class of functions, some examples are presented. Additionally, the famous Hermite–Hadamard inequality is derived for this generalized family of convex functions. Furthermore, some inequalities and results for strong η-convex function are also derived. We anticipate that this new class of convex functions will open the research door to more investigations in this direction.

Funder

Deanship of Scientific Research (DR) at King Abdulaziz University

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/2/195/pdf

Reference24 articles.

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