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

Mohammad W. Alomari. "A sharp companion of Ostrowski’s inequality for the Riemann–Stieltjes integral and applications." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 15 (2016): 69-78. <http://eudml.org/doc/287071>.

@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 -