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

ON APPROXIMATION OF THE RIEMANN–STIELTJES INTEGRAL AND APPLICATIONSMohammad Wajeeh AlomariDepartment of Mathematics, Faculty of Science, Jerash University, Jerash, JordanAbstract: 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, RiemannStieltjes integral Classification (MSC2000): 26D15; 26D20; 41A55 Full text of the article: (for faster download, first choose a mirror)
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