On error estimations of Simpson's second type quadrature formula

DOI10.1002/MMA.7019MaRDI QIDQ6617328

Samet Erden, Poom Kumam, Phatiphat Thounthong, Sabah Iftikhar

Publication date: 10 October 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

functions of bounded variationabsolutely continuous functionsspecial meansNewton's inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Polynomial optimization (90C23)

Cites Work

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• On Simpson's inequality and applications
• A note on Simpson's inequality for functions of bounded variation
• On Simpson's quadrature formula for mappings of bounded variation and applications
• On new inequalities of Newton's type for functions whose second derivatives absolute values are convex
• The Ostrowski integral inequality for mappings of bounded variation
• Simpson's formula for functions whose derivatives belong to \(L_p\) spaces

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