适形分数积分的Hermite-Hadamard不等式

IF 2.2 Q1 MATHEMATICS, APPLIED International Journal of Optimization and Control: Theories and Applications Pub Date : 2019-01-31 DOI:10.11121/ijocta.01.2019.00559

M. Sarıkaya, A. Akkurt, H. Budak, M. Yildirim, H. Yildirim

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引用次数: 23

摘要

本文建立了可满足分数阶积分的Hermite-Hadamard型不等式，并研究了与可满足分数阶积分的Hermite-Hadamard型不等式的左右两边相联系的一些积分不等式。这里提出的结果将提供那些在早期工作中给出的推广，我们表明，我们的一些结果比其他结果更好，关于中点不等式。

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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Hermite-Hadamard's inequalities for conformable fractional integrals

In this paper, we establish the Hermite-Hadamard type inequalities forconformable fractional integral and we will investigate some integralinequalities connected with the left and right-hand side of theHermite-Hadamard type inequalities for conformable fractional integral. Theresults presented here would provide generalizations of those given inearlier works and we show that some of our results are better than the otherresults with respect to midpoint inequalities.

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