An Ostrowski Type Inequality for Twice Differentiable Mappings and Applications

Abstract

Abstract. 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.

Inequality of Ostrowski Type for Mappings with Bounded Fourth Order Partial Derivatives

“…For other related work, we refer the reader to [6][7][8][9][10][11][12][13][14][15]. In this paper, motivated by the ideas in both [4,5], we shall derive a new inequality of Ostrowski's type similar to the inequalities (5) and 7, involving functions of two independent variables.…”

On the k-fractional integral inequalities through the generalized s-$(\alpha,m)$-preinvexity

“…For recent results with respect to (1.1) and (1.2), we refer to [1,2,3,4,5,6,7,8,9,10] and the references therein.…”