A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral and applications

A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral ∫ab f(t)du(t), where f is assumed to be of r-H-Hölder type on [a,b] and u is of bounded variation on [a,b], is proved. Applications to the approximation problem of the Riemann-Stieltjesintegral in terms of Riemann-S...

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Bibliographic Details
Main Author: Mohammad W. Alomari
Format: Article
Language:deu
Published: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego 2016-10-01
Series:Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
Subjects:
Online Access:http://studmath.up.krakow.pl/index.php/studmath/article/view/226