文章基本信息

标题：Some Hermite–Jensen–Mercer type inequalities for k -Caputo-fractional derivatives and related results
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作者：Shupeng Zhao ; Saad Ihsan Butt ; Waqas Nazeer 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：1-17
DOI：10.1186/s13662-020-02693-y
出版社：Hindawi Publishing Corporation
摘要：In this paper, certain Hermite–Hadamard–Mercer type inequalities are proved via k-Caputo fractional derivatives. We established some new k-Caputo fractional derivatives inequalities with Hermite–Hadamard–Mercer type inequalities for differentiable mapping $\psi^{(n)}$ whose derivatives in the absolute values are convex.
关键词：Convex functions;Hermite–Hadamard inequalities;Jensen inequality;Jensen–Mercer inequality;k-Caputo fractional derivatives;