文章基本信息

标题：Generalized fractional integral inequalities by means of quasiconvexity
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作者：Eze R. Nwaeze
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：1-11
DOI：10.1186/s13662-019-2204-3
出版社：Hindawi Publishing Corporation
摘要：Using the newly introduced fractional integral operators in (Fasc. Math. 20(4):5-27, 2016) and (East Asian Math. J. 21(2):191-203, 2005), we establish some novel inequalities of the Hermite–Hadamard type for functions whose second derivatives in absolute value are η-quasiconvex. Results obtained herein give a broader generalization to some existing results in the literature by choosing appropriate values of the parameters under consideration. We apply our results to some special means such as the arithmetic, geometric, harmonic, logarithmic, generalized logarithmic, and identric means to obtain more results in this direction.
关键词：26A51;26D15;26E60;41A55;Hermite;Hadamard inequality;convex functions;quasiconvex functions;special means;Riemann;Liouville fractional integral operators