利用广义分数积分算子求解凸函数的Hermite-Hadamard型不等式

Q3 Mathematics
E. Set, Abdurrahman Gözpınar
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引用次数: 9

摘要

摘要本文建立了一个包含广义分数阶积分算子的新的积分恒等式,利用这个分数阶积分恒等式,得到了一阶导数绝对值为凸的函数的一些新的Hermite-Hadamard型不等式。文中还指出了本文所得结果与前面所得结果的相关联系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Hermite-Hadamard Type Inequalities for convex functions via generalized fractional integral operators
Abstract In this present work, the authors establish a new integral identity involving generalized fractional integral operators and by using this fractional-type integral identity, obtain some new Hermite-Hadamard type inequalities for functions whose first derivatives in absolute value are convex. Relevant connections of the results presented here with those earlier ones are also pointed out.
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来源期刊
Topological Algebra and its Applications
Topological Algebra and its Applications Mathematics-Algebra and Number Theory
CiteScore
1.20
自引率
0.00%
发文量
12
审稿时长
24 weeks
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