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On some extremalities in the approximate integration

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Publication:5189755
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DOI10.7153/mia-13-13zbMath1183.26032arXiv0807.4133OpenAlexW2160590255MaRDI QIDQ5189755

Szymon Wąsowicz

Publication date: 11 March 2010

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.4133


zbMATH Keywords

error boundsquadrature rulessupport theoremsHadamard-type inequalitiesapproximate integrationhigher order convexityextremalities


Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Convexity of real functions in one variable, generalizations (26A51) Numerical integration (65D30) Remainders in approximation formulas (41A80)


Related Items (5)

On optimal inequalities between three-point quadratures ⋮ The Hermite-Hadamard inequality in Beckenbach's setting ⋮ Inequalities between remainders of quadratures ⋮ On Some Recent Applications of Stochastic Convex Ordering Theorems to Some Functional Inequalities for Convex Functions: A Survey ⋮ Extremal measures with prescribed moments







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