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

• Published in: Український математичний журнал
• Date: 2013
• Main Author: Alomari, M.W.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165582
• 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.

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...