- Journal of Universal Mathematics
- Vol: 4 Issue: 1
- HERMITE--HADAMARD TYPE INEQUALITIES VIA DIFFERENTIABLE hφ−h_{\varphi }-hφ− PREINVEX FUNCTIONS FOR FR...
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
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