广义分数积分的新中点型不等式

IF 1.1 Q2 MATHEMATICS, APPLIED Computational Methods for Differential Equations Pub Date : 2021-01-05 DOI:10.22034/CMDE.2020.40684.1772

H. Budak, Hasan Kara, Rabia Kapucu

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引用次数: 7

摘要

本文首先建立了广义分数积分可微函数的两个新恒等式。然后，利用这些等式，我们得到了一些涉及绝对值导数为凸的映射的广义分数积分的中点型不等式。我们还给出了几个结果作为我们主要结果的特例。

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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New midpoint type inequalities for generalized fractional integral

In this paper, we first establish two new identities for differentiable function involving generalized fractional integrals. Then, by utilizing these equalities, we obtain some midpoint type inequalities involving generalized fractional integrals for mappings whose derivatives in absolute values are convex. We also give several results as special cases of our main results.

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