Çetin Yildiz

On some inequalities for s-convex functions and applications

Some new results related to the left-hand side of the Hermite-Hadamard type inequalities for the class of functions whose second derivatives at certain powers are s-convex functions in the second sense are obtained. Also, some applications to special means of real numbers are provided.MSC:26A51, 26D15.

New inequalities of Hadamard type for quasi-convex functions

In this paper some new Hadamard-type inequalities for functions whose second derivatives in absolute values are quasi-convex are established. Our results gives new estimations for quasi-convex functions.

New Generalizations of Ostrowski-Like Type Inequalities for Fractional Integrals

In this paper, we use the Riemann-Liouville fractional integrals to establish several new inequalities for some difierantiable mappings that are connected with the celebrated Ostrowski type integral inequality.

New generalized inequalities of Hermite-Hadamard type for quasi-convex functions

In this paper, new integral inequalities of Hermite-Hadamard type are developed for n–times differentiable quasi-convex functions.

A note on geometrically convex functions

In this paper, we establish several new inequalities for twice differentiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality.MSC:26D15, 26A51.

On some new inequalities of Hadamard type for h-convex functions

In this paper we proved some new Hadamard-type inequalities for h-convex functions.In this paper we proved some new Hadamard-type inequalities for h-convex functions.

Konveks Fonksiyonlarla İlgili Bazı Yeni İntegral Eşitsizlikler

Konveks fonksiyonlari kullanarak, bir cekirdek yardimiyla bazi yeni integral esitsizlikler elde ettik. Ispatlarda kullanilan analiz oldukca elementer olup Holder ve Power mean esitsizligi uzerine kurgulandi.

Integral inequalities for quasi-convex functions and applications

In this paper, using integral representations for n−times differentiable mappings, we establish new generalizations of certain Hermite-Hadamard type inequality for quasiconvex functions. We also give some new estimations for special means of real numbers.

On new Fejér type inequalities for m−convex and quasi convex functions

Abstract In this paper we establish new inequalities of weighted version of Hermite-Hadamard type inequality for functions whose derivatives absolute values are m− convex. Also we obtain some Fejér type inequalities for quasi-convex functions.

An Ostrowski type inequality for derivatives of q-th power of s-convex functions via fractional integrals

Abstract In this paper, we establish several new inequalities for s-convex mappings that are connected with the Riemann–Liouville fractional integrals. Our results have some relationships with an Ostrowski type integral inequality in the literature.