Riemann-Liouville分数阶积分算子的Hermite-Hadamard型不等式的改进

IF 2.2 Q1 MATHEMATICS, APPLIED

International Journal of Optimization and Control: Theories and Applications Pub Date : 2019-01-30 DOI:10.11121/ijocta.01.2019.00585

H. Budak

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引用次数: 4

摘要

本文首先利用加权函数建立了Riemann-Liouville分数阶积分算子的Hermite-Hadamard型不等式的加权版本。然后我们得到了这些不等式的一些改进。本研究得到的结果将提供在早期工作中证明的不等式的推广。

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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On refinements of Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral operators

In this paper, we first establish weighted versions of Hermite-Hadamard typeinequalities for Riemann-Liouville fractional integral operators utilizingweighted function. Then we obtain some refinements of these inequalities. Theresults obtained in this study would provide generalization of inequalitiesproved in earlier works.

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来源期刊

International Journal of Optimization and Control: Theories and Applications Mathematics-Applied Mathematics

CiteScore

3.30

自引率

6.20%

发文量

审稿时长

16 weeks