$ (h_ {1}， h_{2})- $凸函数的一些新的分数积分不等式

IF 1.3 Q3 COMPUTER SCIENCE, THEORY & METHODS

Mathematical foundations of computing Pub Date : 2023-01-01 DOI:10.3934/mfc.2023040

Xiaoyue Han, Run Xu

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引用次数: 0

摘要

本文通过$ (h_ {1}， h_{2})- $凸函数和$ (h_ {1}， h_{2})- $凹函数建立了一些涉及Atangana-Baleanu分数积分算子的Hermite-Hadamard- fej积分不等式和Hermite-Hadamard- fejamer积分不等式。然后，根据带有Atangana-Baleanu分数阶积分算子的积分方程，给出了二阶可微凸映射的Hermite-Hadamard积分不等式。

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Some new fractional integral inequalities for $ (h_ {1}, h_ {2})- $convex functions

In this paper, some Hermite-Hadamard integral inequalities and Hermite-Hadamard-Fejér integral inequalities involving Atangana-Baleanu fractional integral operators via $ (h_ {1}, h_ {2})- $convex functions and $ (h_ {1}, h_ {2})- $concave functions are established. Then, according to an integral equation with Atangana-Baleanu fractional integral operators, some Hermite-Hadamard integral inequalities for second order differentiable convex maps are given.

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来源期刊

Mathematical foundations of computing

CiteScore

1.50

自引率

0.00%

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