19 citations · 33 across the 12 of their papers we have counts for
12 papers
A new Generalized fractional derivative and integral
Abdullah Akkurt, M. Esra Yildirim, Hüseyin Yildirim
In this article, we introduce a new general definition of fractional derivative and fractional integral, which depends on an unknown kernel. By using these definitions, we obtain t…
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…
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].
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…
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…
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…