On Some Integral Inequalities for Twice Diferentiable φ - Convex and Quasi - Convex Functions via k - Fractional Integrals

M. Esra Yildirim; Abdullah Akkurt; Hüseyin Yildirim

doi:10.9734/BJMCS/2016/26309

Research Article Open access CC BY 4.0

On Some Integral Inequalities for Twice Diferentiable φ - Convex and Quasi - Convex Functions via k - Fractional Integrals

M. Esra Yildirim, Abdullah Akkurt, Hüseyin Yildirim

Journal of Advances in Mathematics and Computer Science · pp. 1–11 · Published 12 May 2016

10.9734/BJMCS/2016/26309

Abstract

In this paper, by using the integral equality which is given in this work, we aim at establishing some new inequalities of the Simpson-like and the Hadamard-like type for functions whose second derivatives are φ-convex and quasi-convex.

h−convex functions Quasi- convex function Hermite-Hadamard type inequalities Simpson's inequality k-gamma functions k-beta function.

Cited by 1

New Inequalities of Fejer´ and Hermite-Hadamard type Concerning Convex and QuasiConvex Functions With Applications

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M. Esra Yildirim, Abdullah Akkurt, Hüseyin Yildirim (2016). On Some Integral Inequalities for Twice Diferentiable φ - Convex and Quasi - Convex Functions via k - Fractional Integrals. Journal of Advances in Mathematics and Computer Science , 1–11. https://doi.org/10.9734/BJMCS/2016/26309

Affiliations

M. Esra Yildirim — Department of Mathematics, Faculty of Science, University of Cumhuriyet, 58140, Sivas, Turkey.
Abdullah Akkurt — Department of Mathematics, Faculty of Science and Arts, University of Kahramanmaras Sütçü İmam, 46100, Kahramanmaras, Turkey.
Hüseyin Yildirim — Department of Mathematics, Faculty of Science and Arts, University of Kahramanmaras Sütçü İmam, 46100, Kahramanmaras, Turkey.

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