An inequality for monotonic functions generalizing Ostrowski and related results

DOI10.1016/J.CAMWA.2005.08.029zbMath1103.26016OpenAlexW2077326002MaRDI QIDQ2507008

Sever Silvestru Dragomir, Anthony Sofo

Publication date: 10 October 2006

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.08.029

zbMATH Keywords

quadrature rulesOstrowski's inequalitymonotonic mappings

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (9)

Comparing two integral means for absolutely continuous functions whose absolute value of the derivative are convex and applications ⋮ SOME RESULTS ON COMPARING TWO INTEGRAL MEANS FOR ABSOLUTELY CONTINUOUS FUNCTIONS AND APPLICATIONS ⋮ Some new generalized 2D Ostrowski-Grüss type inequalities on time scales ⋮ Some generalized Ostrowski-Grüss type integral inequalities ⋮ New Ostrowski-Grüss type inequalities with the derivatives bounded by functions ⋮ On some generalizations of an Ostrowski-Grüss type integral inequality ⋮ A new inequality of Ostrowski-Grüss type and applications to some numerical quadrature rules ⋮ Generalized \(n\) dimensional Ostrowski type and Grüss type inequalities on time scales ⋮ Pre-Grüss and Grüss-Ostrowski like inequalities in Banach spaces

Cites Work

• The unified treatment of trapezoid, Simpson, and Ostrowski type inequality for monotonic mappings and applications.
• On the Ostrowski's integral inequality for mappings with bounded variation and applications
• The Ostrowski integral inequality for mappings of bounded variation
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