Some integral inequalities for functions with \((n - 1)\)st derivatives of bounded variation

DOI10.1016/J.CAMWA.2006.05.026zbMath1143.26012OpenAlexW2033664613MaRDI QIDQ2460561

Dezao Cui, Aimin Xu

Publication date: 12 November 2007

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.05.026

zbMATH Keywords

bounded variationquadrature formulaBernoulli polynomialOstrowski's inequalitytrapezoidal inequalityAppell type polynomial

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Functions of bounded variation, generalizations (26A45)

Related Items (1)

A note to inequalities of Euler-Grüss type

Cites Work

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• A generalization of Ostrowski's inequality and applications in numerical integration.
• On Euler trapezoid formulae
• A new generalization of Ostrowski's integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means
• A note to Ujević's generalization of Ostrowski's inequality
• Über die Absolutabweichung einer differenzierbaren Funktion von ihrem Integralmittelwert

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