复合反函数的新Hermite-Hadamard不等式

IF 0.8 4区数学 Q2 MATHEMATICS

Filomat Pub Date : 2023-01-01 DOI:10.2298/fil2309995s

Muhammad Samraiz, Fakhra Nawaz, Shanhe Wu, Sajid Iqbal, Artion Kashuri

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引用次数: 0

摘要

本研究的目的是发现一个函数与另一个函数的左右加权分数阶积分和的一般形式的恒等式。利用复合凸函数，导出了几个分数阶Hermite-Hadamard不等式。通过绘制这种关系的图形来证明所建立的不等式的正确性。此外，我们的研究结果概括了之前发表的一些结果。这些发现将有助于研究具有唯一解的分数阶微分方程和分数阶边值问题。

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On the novel Hermite-Hadamard inequalities for composite inverse functions

The goal of this research is to discover some identities in the general form of the sum of left and right-sided weighted fractional integrals of a function concerning to another function. Using composite convex functions, several fractional Hermite-Hadamard inequalities are derived. The veracity of the inequalities established is demonstrated by drawing graphs of such relationships. Furthermore, our findings generalize a number of previously published outcomes. These findings will aid in the study of fractional differential equations and fractional boundary value problems with unique solutions.

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