A corrected interpolating polynomial is derived. Error inequalities of Ostrowski type for the corrected interpolating polynomial are established. Some similar inequalities are also obtained.

Abstract In this paper, we introduce notable Jensen–Mercer inequality for a general class of convex functions, namely uniformly functions. We explore some interesting properties such functions along with examples. As result, establish Hermite–Jensen–Mercer inequalities pertaining by considering the fractional integral operators. Moreover, Mercer–Ostrowski conformable operator via differentiable...

In this paper, we obtained some new estimates on generalization of Hadamard, Ostrowski and Simpson-like type inequalities for harmonically quasi-convex functions via Riemann Liouville fractional integral.

Recently intensive efforts are deployed to establish inequalities involving some bivariate means. In this paper we aim investigate further mean inequalities. The approach employed here is based on a combination of the integral representations involved means with advanced known in literature. particular, applying Gr?ss inequality and Ostrowski derive lot estimations for differences between stand...

In this paper we obtain sharp Ostrowski type inequalities for multidimensional sets of bounded variation and multivariate functions of bounded variation.