利用回火分式积分分析米尔恩型不等式

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-14 DOI:10.1007/s13324-024-00958-3

Wali Haider, Hüseyin Budak, Asia Shehzadi, Fatih Hezenci, Haibo Chen

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引用次数: 0

摘要

在这项研究中，我们定义了有节制分式积分框架下可微函数的基本特征。利用这一特征，我们推导出分数米尔恩型不等式的若干修正。我们提供了回火分数积分域中米尔恩型不等式的新扩展。研究强调了重要的函数类别，包括凸函数、有界函数、Lipschitzian 函数和有界变化函数。

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Analysing Milne-type inequalities by using tempered fractional integrals

In this research, we define an essential identity for differentiable functions in the framework of tempered fractional integral. By utilizing this identity, we deduce several modifications of fractional Milne-type inequalities. We provide novel expansions of Milne-type inequalities in the domain of tempered fractional integrals. The investigation emphasises important functional categories, including convex functions, bounded functions, Lipschitzian functions, and functions with bounded variation.

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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.