Hermite-Hadamard type inequalities for new conditions on h-convex functions via $\psi $-Hilfer integral operators

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-03-26 DOI:10.1007/s13324-024-00893-3

Bouharket Benaissa, Noureddine Azzouz, Hüseyin Budak

引用次数: 0

Abstract

We employ a new function class called B-function to create a new version of fractional Hermite–Hadamard and trapezoid type inequalities on the right-hand side that involves h-convex and $\psi $-Hilfer operators. We also provide new midpoint-type inequalities using h-convex functions.

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通过 $$\psi $$ -Hilfer 积分算子对 h-凸函数新条件的 Hermite-Hadamard 型不等式

我们采用一种名为 B-函数的新函数类，在右侧创建了一种新版本的分数赫米特-哈达玛不等式和梯形不等式，其中涉及 h-凸函数和（\psi \）-希尔费算子。我们还利用 h-convex 函数提供了新的中点类型不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

Hermite-Hadamard type inequalities for new conditions on h-convex functions via \(\psi \)-Hilfer integral operators

Abstract