Hüseyin Budak

On generalization of weighted Ostrowski type inequalities for functions of bounded variation

In this paper, some generalization of weighted Ostrowski type integral inequalities for mappings of bounded variation are obtained and some interesting inequalities as special cases are given.

On generalized some integral inequalities for local fractional integrals

In this study, we establish generalized Gruss type inequality and some generalized ?ebysev type inequalities for local fractional integrals on fractal sets Rα (0 <α ? 1) of real line numbers.

A new Ostrowski type inequality for functions whose first derivatives are of bounded variation

In this paper, we establish some new Ostrowski type integral inequalities for map-pings whose first derivatives are of bounded variation and quadrature formula is provided.

An Ostrowski Type Inequality for Twice Differentiable Mappings and Applications

We establish an Ostrowski type inequality for mappings whose second derivatives are bounded, then some results of this inequality that are related to previous works are given. Finally, some applications of these inequalities in numerical integration and for special means are provided.

Grüss type inequalities for generalized fractional integrals

In this study, some Gruss type inequalities for generalized fractional integrals are presented. Also, the results presented here would provide extensions of those given in earlier works.

Generalized Hermite -Hadamard type integral inequalities for functions whose 3rd derivatives are s-convex

Abstract In this paper, we have established Hermite-Hadamard type inequalities for functions whose 3rd derivatives are s-convex depending on a parameter. These results have generalized some relationships with [4].

SIMPSON’S TYPE INEQUALITY FOR F-CONVEX FUNCTION

In this paper, we obtain Simpson’s type inequality for the function whose second derivatives absolute values are F-convex. Then, we give some special cases of the mappings F.

Sınırlı Varyasyonlu Fonksiyonlar için Yeni Genelleşmiş Eşitsizlikler

Bu makalede ilk olarak Riemann-Stieltjes integrallleri icin genellesmis yeni iki esitlik kullanilarak sinirli varyasyonlu fonksiyonlar icin yamuk (trapezoid) ve orta nokta (midpoint) tipli bazi genellesmis esitsizlikler elde edilmistir. Daha sonra karesel formul de saglanmistir.

Some new local fractional integral inequalities

Abstract In this study, several new inequalities of local fractional integrals are presented.

Chebyshev type inequalities for generalized stochastic fractional integrals

The concept of comonotonic stochastic processes was introduced by Agahi and Yadollahzadeh. In this paper, we establish some Chebyshev type inequalities for comonotonic stochastic processes via generalized mean-square fractional integrals Jρ,λ,a+;ωσ and Jρ,λ,b−;ωσ which were introduced by Budak and Sarikaya.