文章基本信息

标题：Some modifications in conformable fractional integral inequalities
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作者：Dumitru Baleanu ; Pshtiwan Othman Mohammed ; Miguel Vivas-Cortez 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-25
DOI：10.1186/s13662-020-02837-0
出版社：Hindawi Publishing Corporation
摘要：The prevalence of the use of integral inequalities has dramatically influenced the evolution of mathematical analysis. The use of these useful tools leads to faster advances in the presentation of fractional calculus. This article investigates the Hermite–Hadamard integral inequalities via the notion of Ϝ-convexity. After that, we introduce the notion of $\digamma _{\mu}$-convexity in the context of conformable operators. In view of this, we establish some Hermite–Hadamard integral inequalities (both trapezoidal and midpoint types) and some special case of those inequalities as well. Finally, we present some examples on special means of real numbers. Furthermore, we offer three plot illustrations to clarify the results.
关键词：Integral inequality;Conformable operator;Convex functions;