Please use this identifier to cite or link to this item: http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2430
Title: SOME GENERALIZED HERMITE-HADAMARD TYPE INEQUALITIES INVOLVING FRACTIONAL INTEGRAL OPERATOR FOR FUNCTIONS WHOSE SECOND DERIVATIVES IN ABSOLUTE VALUE ARE S-CONVEX
Authors: Dragomir, S. S.
Gozpinar, A.
Set, E.
Ordu Üniversitesi
0000-0003-1364-5396
Keywords: Hermite-Hadamard inequality; convex function; Holder inequality; Riemann-Liouville fractional integral; fractional integral operator
Issue Date: 2019
Publisher: COMENIUS UNIV, SCH MEDICINE, SPITALSKA 24, BRATISLAVA I, SK-813 72, SLOVAKIA
Abstract: In this article, a general integral identity for twice differentiable mapping involving fractional integral operators is derived. Secondly by using this identity we obtain some new generalized Hermite-Hadamards type inequalities for functions whose absolute values of second derivatives are s-convex and concave. The main results generalize the existing Hermite-Hadamard type inequalities involving the Riemann-Liouville fractional integral. Also we point out, some results in this study in some special cases such as setting s = 1, lambda = alpha, sigma (0) = 1 and w = 0, more reasonable than those obtained in [8].
URI: http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/853
http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2430
Appears in Collections:Matematik

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