文章基本信息

标题：Generalized fractional inequalities for quasi-convex functions
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作者：S. Ullah ; G. Farid ; K. A. Khan 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：2019
卷号：2019
期号：1
页码：1-16
DOI：10.1186/s13662-019-1951-5
出版社：Hindawi Publishing Corporation
摘要：The class of quasi-convex functions contain all those finite convex functions which are defined on finite closed intervals of real line. The aim of this paper is to establish the bounds of the sum of left and right fractional integral operators using quasi-convex functions. An identity is formulated which is used to find Hadamard-type inequalities for quasi-convex functions. Connections with some known results are analyzed. Furthermore, some implications are derived by considering some examples of quasi-convex functions.
关键词：Convex function ; Quasi-convex function ; Hadamard inequality ; Mittag-Leffler function ; Fractional integral operators