A sharp companion of Ostrowski’s inequality for the Riemann–Stieltjes integral and applications
Mohammad W. Alomari
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, Tome 15 (2016), / Harvested from The Polish Digital Mathematics Library
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A sharp companion of Ostrowski’s inequality for the Riemann-Stieltjes integral [...] ∫abf(t) du(t) ∫abf(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.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:287071 
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     author = {Mohammad W. Alomari},
     title = {A sharp companion of Ostrowski's inequality for the Riemann--Stieltjes integral and applications},
     journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
     volume = {15},
     year = {2016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_aupcsm-2016-0006}
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Mohammad W. Alomari. A sharp companion of Ostrowski’s inequality for the Riemann–Stieltjes integral and applications. Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, Tome 15 (2016) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_aupcsm-2016-0006/