Adaptive integration of convex functions of one real variable

DOI10.2478/amsil-2023-0028OpenAlexW4390695051MaRDI QIDQ6131354

Szymon Wąsowicz

Publication date: 5 April 2024

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amsil-2023-0028

zbMATH Keywords

convex functionquadratureHermite-Hadamard inequalitytrapezoid rulemidpoint ruleadaptive integration

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)

Cites Work

• A method for numerical integration on an automatic computer
• On optimal inequalities between three-point quadratures
• On a certain adaptive method of approximate integration and its stopping criterion
• A Quicker Convergence to Euler's Constant
• 75.9 Euler’s Constant
• Exit Criteria for Simpson's Compound Rule

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