指数核分数阶积分算子的一些Hermite-Hadamard和Ostrowski型不等式

IF 0.3 Q4 MATHEMATICS Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2019-08-09 DOI:10.12697/ACUTM.2019.23.03

H. Budak, M. Sarıkaya, F. Usta, H. Yildirim

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引用次数: 3

摘要

首先建立了分数阶积分算子的Hermite-Hadamard型积分不等式。其次，我们通过Hölder和幂意味着不等式给出了分数Ostrowski型不等式在凸函数中的新推广。根据这一目的，我们使用带指数核的分数阶积分算子。

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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Some Hermite–Hadamard and Ostrowski type inequalities for fractional integral operators with exponential kernel

We rstly establish Hermite–Hadamard type integral inequalities for fractional integral operators. Secondly, we give new generalizations of fractional Ostrowski type inequalities through convex functions via Hölder and power means inequalities. In accordance with this purpose, we use fractional integral operators with exponential kernel.

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