## Tbilisi Mathematical Journal

### Some perturbed trapezoid inequalities for convex, $s$-convex and $tgs$-convex functions and applications

#### Abstract

In this paper, the Authors establish a new identity for twice differentiable functions. Afterwards some new inequalities are presented related to perturbed trapezoid inequality for the classes of functions whose second derivatives of absolute values are convex, $s$-convex and $tgs$-convex. Last of all, applications to special means have also been presented.

#### Article information

Source
Tbilisi Math. J., Volume 8, Issue 2 (2015), 87-102.

Dates
Tunç, Mevlüt; Şanal, Ümmügülsüm. Some perturbed trapezoid inequalities for convex, $s$-convex and $tgs$-convex functions and applications. Tbilisi Math. J. 8 (2015), no. 2, 87--102. doi:10.1515/tmj-2015-0013. https://projecteuclid.org/euclid.tbilisi/1528769009