A PARAMETER-BASED OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS WHOSE DERIVATIVES BELONGS TO Lp([a, b]) INVOLVING MULTIPLE POINTS

Abstract

A new generalization of Ostrowski’s inequality for functions whose derivatives belong to Lp([a, b]) (1 ≤ p < ∞) for k points via a parameter is provided. Some particular integral inequalities are derived as by products. Our results generalize some results in the literature.