Generalized Weighted Trapezoid and Gr
Generalized Weighted Trapezoid and Grüss Type Inequalities on Time Scales
Eze Raymond Nwaeze
Department of Mathematics,
Tuskegee, AL 36088,
In this work, we obtain some new generalized weighted trapezoid and Grüss type inequalities on time scales for parameter functions. Our results give a broader generalization of the results due to Pachpatte in . In addition, the continuous and discrete cases are also considered from which, other results are obtained.
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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