利用保形分式积分的二次微分函数布伦型不等式

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-04-02 DOI:10.1186/s13660-024-03130-4

Fatih Hezenci, Hüseyin Budak

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引用次数: 0

摘要

本文证明了涉及共形分式积分的二次可微凸函数的等式。此外，我们还为两次可微分函数建立了几个布伦型不等式。更确切地说，保角分式积分被用来推导这些不等式。此外，利用凸性、荷尔德不等式和幂均不等式，我们还得到了许多重要的不等式。最后，我们利用所得定理的特例给出了我们的结果。

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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Bullen-type inequalities for twice-differentiable functions by using conformable fractional integrals

In this paper, we prove an equality for twice-differentiable convex functions involving the conformable fractional integrals. Moreover, several Bullen-type inequalities are established for twice-differentiable functions. More precisely, conformable fractional integrals are used to derive such inequalities. Furthermore, sundry significant inequalities are obtained by taking advantage of the convexity, Hölder inequality, and power-mean inequality. Finally, we provide our results by using special cases of obtained theorems.

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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.

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