arXiv subjects
Publications and source records attributed to Abdullah Akkurt.
In this paper, we have established some generalized integral inequalities of Hermite-Hadamard-Fejér type for generalized fractional integrals. The results presented here would provide generalizations of those given in earlier works.
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 the basic properties of fractional integral and fractional derivative such as Product Rule, Quotient Rule, Chain Rule, Roll's Theorem and Mean Value Theorem. We give some examples.
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].
In this paper, we obtain new estimates on generalization of Hermite-Hadamard, Simpson and Ostrowski type inequalities for functions whose second derivatives is $φ$-convex via fractional integrals.
In this paper, we consider a new class of convex functions which is called $λ$-preinvex functions. We prove several Hermite-Hadamard type inequalities for differentiable $λ$-preinvex functions via Fractional Integrals. Some special cases are also discussed.
In this paper, we consider a new class of convex functions which is called $h_φ-$preinvex functions. We prove several Hermite--Hadamard type inequalities for differentiable $h_φ$-preinvex functions via Fractional Integrals. Some special cases are also discussed. Our results extend and improve the corresponding ones in the literature.