On Generalized Some Inequalities for s Convex Functions

Mehmet Eyup Kiris¹, Naki ÇALTINER²

1. Department of Mathematics, Faculty of Science and Arts, Afyon Kocatepe University, Afyonkarahisar, Turkey. E-mail address: kiris@aku.edu.tr.
2. Institute of Science, Afyon Kocatepe University, Afyonkarahisar, Turkey. naki.caltiner@gmail.com.

Abstract: In this paper, a general integral identity for differentiable mapping is derived. Then, we extend some estimates of the right hand and left hand side of a Hermite- Hadamard-Fejér type inequality for functions whose first derivatives absolute values are s convex. Some applications for special means of real numbers are also provided. The results presented here would provide extensions of those given in earlier works.

Keywords: Hermite-Hadamard-Fejer inequality, Trapezoid inequality, convex function, s – convex function, Hölder inequality.

Pages: 69 – 89 | Full PDF Paper