Weighted Ostrowski integral inequalities for mappings whose derivatives belong to \(L_p(a,b)\)

DOI10.1016/j.amc.2013.03.094zbMath1296.26074OpenAlexW2067248902MaRDI QIDQ2453355

Shiow-Ru Hwang, Kuei-Lin Tseng, Kai-Chen Hsu

Publication date: 6 June 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.03.094

zbMATH Keywords

Ostrowski type inequality\(L_p(a,b)\)weighted Ostrowski type inequalityweighted Simpson's inequalityweighted trapezoid inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Numerical integration (65D30)

Related Items (1)

Approximating the finite Hilbert transform via some companions of Ostrowski's inequalities

Cites Work

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• Improvements of the Ostrowski integral inequality for mappings of bounded variation. II.
• Improvements of the Ostrowski integral inequality for mappings of bounded variation. I.
• Weighted Ostrowski integral inequality for mappings of bounded variation
• Improvements of some inequalities of Ostrowski type and their applications
• A new generalization of Ostrowski's integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means
• Generalizations of weighted Ostrowski type inequalities for mappings of bounded variation and their applications
• The Ostrowski integral inequality for mappings of bounded variation
• A generalization of the Ostrowski integral inequality for mappings whose derivatives belong to \(L_p[a,b\) and applications in numerical integration]

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