Geodesic
A sharp companion of Ostrowski’s inequality for the Riemann–Stieltjes integral and applications
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, no. 15 (2016)

Voir la notice de l'article provenant de la source Library of Science

A sharp companion of Ostrowski’s inequality for the Riemann-Stieltjes integral [...] ∫abf(t) du(t) ∫_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.
Keywords: Ostrowski’s inequality, Quadrature formula, Riemann-Stieltjes integral 
Alomari, Mohammad W. A sharp companion of Ostrowski’s inequality for the Riemann–Stieltjes integral and applications. Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, no. 15 (2016). http://geodesic.mathdoc.fr/item/AUPCM_2016_15_a2/
@article{AUPCM_2016_15_a2,
     author = {Alomari, Mohammad W.},
     title = {A sharp companion of {Ostrowski{\textquoteright}s} inequality for the {Riemann{\textendash}Stieltjes} integral and applications},
     journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
     year = {2016},
     number = {15},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AUPCM_2016_15_a2/}
}
TY  - JOUR
AU  - Alomari, Mohammad W.
TI  - A sharp companion of Ostrowski’s inequality for the Riemann–Stieltjes integral and applications
JO  - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
PY  - 2016
IS  - 15
UR  - http://geodesic.mathdoc.fr/item/AUPCM_2016_15_a2/
LA  - en
ID  - AUPCM_2016_15_a2
ER  - 
%0 Journal Article
%A Alomari, Mohammad W.
%T A sharp companion of Ostrowski’s inequality for the Riemann–Stieltjes integral and applications
%J Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
%D 2016
%N 15
%U http://geodesic.mathdoc.fr/item/AUPCM_2016_15_a2/
%G en
%F AUPCM_2016_15_a2