Geodesic
On Approximation of the Riemann-Stieltjes Integral and Applications
Publications de l'Institut Mathématique, _N_S_92 (2012) no. 106, p. 145 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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.
Classification : 26D15 26D20 41A55
Keywords: Ostrowski's inequality, bounded variation, Riemann-Stieltjes integral 
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     author = {Mohammad Wajeeh Alomari},
     title = {On {Approximation} of the {Riemann-Stieltjes} {Integral} and {Applications}},
     journal = {Publications de l'Institut Math\'ematique},
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     language = {en},
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Mohammad Wajeeh Alomari. On Approximation of the Riemann-Stieltjes Integral and Applications. Publications de l'Institut Mathématique, _N_S_92 (2012) no. 106, p. 145 . http://geodesic.mathdoc.fr/item/PIM_2012_N_S_92_106_a11/