文章基本信息

标题：Integral inequalities for s -convex functions via generalized conformable fractional integral operators
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作者：Artion Kashuri ; Sajid Iqbal ; Rozana Liko 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：1-20
DOI：10.1186/s13662-020-02671-4
出版社：Hindawi Publishing Corporation
摘要：We introduce new operators, the so-called left and right generalized conformable fractional integral operators. By using these operators we establish new Hermite–Hadamard inequalities for s-convex functions and products of two s-convex functions in the second sense. Also, we obtain two interesting identities for a differentiable function involving a generalized conformable fractional integral operator. By applying these identities we give Hermite–Hadamard and midpoint-type integral inequalities for s-convex functions. Different special cases have been identified and some known results are recovered from our general results. These results may motivate further research in different areas of pure and applied sciences.
关键词：Hermite–Hadamard inequality;Hölder inequality;Power mean inequality;Convexity;Conformable fractional integral;General fractional integral operators;