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

• Veröffentlicht in: Український математичний журнал
• Datum: 2013
• 1. Verfasser: Alomari, M.W.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут математики НАН України 2013
• Schlagworte: Статті
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/165582
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...