A Generalization of Ostrowski's Inequality for Functions of Bounded
Variation via a Parameter
A Generalization of Ostrowski's Inequality for Functions of Bounded Variation via a Parameter
Department of Mathematics and Computer
Alabama State University,
Montgomery, AL 36101,
In this paper, we provide a generalization of the Ostrowski's inequality for functions of bounded variation for k points via a parameter λ∈[0,1]. As a by product, we consider some particular cases to obtained some interesting inequalities in these directions. Our results generalizes some of the results by Dragomir in [S. S. DRAGOMIR, The Ostrowski inequality for mappings of bounded variation, Bull. Austral. Math. Soc., 60 (1999), pp. 495--508.]
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