与区间值指数三角凸函数有关的某些分数积分内含物

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-20

Taic un Zhou, T. Du

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引用次数: 0

摘要

。作为涉及区间值凸函数的一种有趣的推广，首先引入了区间值指数三角凸函数，然后研究了其有意义的性质。同时，利用新提出的区间值分数阶微积分函数，得到了某些Hermite-Hadamard-and pachpatte型积分包含关系。特别地，提出了一个改进的关于区间值指数三角凸函数的Hermite-Hadamard积分包涵。为了确定研究中推导出的包含关系的正确性，给出了参数α变化的结果的图形表示。

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Certain fractional integral inclusions pertaining to interval-valued exponential trigonometric convex functions

. As an interesting generalization involving the interval-valued convex functions, the interval-valued exponential trigonometric convex function is ﬁ rstly introduced, and their meaningful properties are then investigated. Meanwhile, certain Hermite–Hadamard-and Pachpatte-type integral inclusion relations are also developed via the newly proposed functions in interval-valued fractional calculus. In particular, an improved version of the Hermite–Hadamard’s integral inclusions pertaining to the interval-valued exponential trigonometric convex functions is proposed as well. To identify the correctness of the derived inclusion relations in the study, the graphical representations for the outcomes are provided in terms of the change of the parameter α .

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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.