HERMITE--HADAMARD TYPE INEQUALITIES VIA DIFFERENTIABLE hφ−h_{\varphi }-hφ− PREINVEX FUNCTIONS FOR FRACTIONAL INTEGRALS

Authors : Abdullah AKKURT, Hüseyin YILDIRIM

Pages : 87-101

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Publication Date : 2021-01-31

Article Type : Research Paper

Abstract :In this paper, we consider a new class of convex functions which is called h varphi -preinvex functions. We prove several Hermite--Hadamard type inequalities for differentiable h varphi -preinvex functions via  F ractional Integrals. Some special cases are also discussed. Our results extend and improve the corresponding ones in the literature.
Keywords : integral inequalities, fractional integrals, Hermite Hadamard Inequality