On Modified Integral Inequalities for a Generalized Class of Convexity and Applications

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Date
2023-02-05
Author
Srivastava, Hari Mohan
Tariq, Muhammad
Mohammed, Pshtiwan Othman
Alrweili, Hleil
Al-Sarairah, Eman
De la Sen Parte, Manuel ORCID
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Axioms 12(2) : (2023) // Article ID 162
URI
http://hdl.handle.net/10810/60100
Abstract
In this paper, we concentrate on and investigate the idea of a novel family of modified p-convex functions. We elaborate on some of this newly proposed idea’s attractive algebraic characteristics to support it. This is used to study some novel integral inequalities in the frame of the Hermite–Hadamard type. A unique equality is established for differentiable mappings. The Hermite–Hadamard inequality is extended and estimated in a number of new ways with the help of this equality to strengthen the findings. Finally, we investigate and explore some applications for some special functions. We think the approach examined in this work will further pique the interest of curious researchers.
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© 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/).
Except where otherwise noted, this item's license is described as © 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/).