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20052017
most citedA new Generalized fractional derivative and integral

19 citations · 33 across the 12 of their papers we have counts for

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10 papers · 1 filter

math.CA2016

Some Integral Inequalities For Functions Whoose Second Derivatives Are -Convex By Using Fractional Integrals

M. Esra Yildirim, Abdullah Akkurt, Hüseyin Yildirim

In this paper, we obtain new estimates on generalization of Hermite-Hadamard, Simpson and Ostrowski type inequalities for functions whose second derivatives is -convex via fract…

math.CA2016

Non-Isotropic Potential Theoretic Inequality

M. Esra Yildirim, Abdullah Akkurt, Hüseyİn Yildirim

In this paper, the new weighted inequalities were derived by-distance which is similar to the given inequality for the potential operator defined in [1].

math.CA2016

On Hermite-Hadamard Inequalities for differentiable -preinvex functions via Riemann-Liouville Fractional Integrals

Abdullah Akkurt, M. Esra Yildirim, Hüseyin Yildirim

In this paper, we consider a new class of convex functions which is called -preinvex functions. We prove several Hermite-Hadamard type inequalities for differentiable -preinv…

math.CA2015

Hermite--Hadamard type inequalities via differentiable -preinvex functions for Fractional Integrals

Abdullah Akkurt, Hüseyin Yildirim

In this paper, we consider a new class of convex functions which is called preinvex functions. We prove several Hermite--Hadamard type inequalities for differentiable -p…

math.CA2015

On Hermite-Hadamard-Fejer type Inequality for Convex Functions via Fractional Integrals

Abdullah Akkurt, Hüseyin Yildirim

In this paper, we have established some generalized integral inequalities of Hermite-Hadamard-Fejér type for generalized fractional integrals. The results presented here would prov…

math.CA2012★ 1 cited

New Estimations for h-convex Functions via Further Properties

Mevlut Tunc, Huseyin Yildirim

In this paper, some new inequalities of the Hermite-Hadamard type for h- convex functions whose modulus of the derivatives are h-convex and applications for special means are given…