EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 92(106), pp. 145–156 (2012)

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ON APPROXIMATION OF THE RIEMANN–STIELTJES INTEGRAL AND APPLICATIONS

Mohammad Wajeeh Alomari

Department of Mathematics, Faculty of Science, Jerash University, Jerash, Jordan

Abstract: Several inequalities of Grüss type for the Stieltjes integral with various type of integrand and integrator are introduced. Some improvements inequalities are proved. Applications to the approximation problem of the Riemann–Stieltjes integral are also pointed out.

Keywords: Ostrowski's inequality, bounded variation, Riemann-Stieltjes integral

Classification (MSC2000): 26D15; 26D20; 41A55

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Electronic fulltext finalized on: 8 Nov 2012. This page was last modified: 19 Nov 2012.

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