New Sharp Ostrowski-type Inequalities and Generalized Trapezoid-type Inequalities for Riemann–Stieltjes Integrals and their Applications

We prove new sharp weighted generalizations of Ostrowski-type and generalized trapezoid-type inequalities for Riemann–Stieltjes integrals. Several related inequalities are deduced and investigated. New Simpson-type inequalities are obtained for the RS-integral. Finally, as an application, we estimat...

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Published in:Український математичний журнал
Date:2013
Main Author: Alomari, M.W.
Format: Article
Language:English
Published: Інститут математики НАН України 2013
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/165582
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:New Sharp Ostrowski-type Inequalities and Generalized Trapezoid-type Inequalities for Riemann–Stieltjes Integrals and their Applications / M.W. Alomari // Український математичний журнал. — 2013. — Т. 65, № 7. — С. 894–916. — Бібліогр.: 23 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine