A sharp companion of Ostrowski’s inequality for the Riemann–Stieltjes integral and applications

@article{MohammadW2016,
abstract = {A sharp companion of Ostrowski’s inequality for the Riemann-Stieltjes integral [...] ∫abf(t) du(t) $\int _a^b \{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-Stieltjes integral in terms of Riemann-Stieltjes sums are also pointed out.},
author = {Mohammad W. Alomari},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
keywords = {Ostrowski’s inequality; Quadrature formula; Riemann-Stieltjes integral; Ostrowski's inequality; quadrature formula},
language = {eng},
pages = {69-78},
title = {A sharp companion of Ostrowski’s inequality for the Riemann–Stieltjes integral and applications},
url = {http://eudml.org/doc/287071},
volume = {15},
year = {2016},
}

TY - JOUR
AU - Mohammad W. Alomari
TI - A sharp companion of Ostrowski’s inequality for the Riemann–Stieltjes integral and applications
JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
PY - 2016
VL - 15
SP - 69
EP - 78
AB - A sharp companion of Ostrowski’s inequality for the Riemann-Stieltjes integral [...] ∫abf(t) du(t) $\int _a^b {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-Stieltjes integral in terms of Riemann-Stieltjes sums are also pointed out.
LA - eng
KW - Ostrowski’s inequality; Quadrature formula; Riemann-Stieltjes integral; Ostrowski's inequality; quadrature formula
UR - http://eudml.org/doc/287071
ER -