Adaptive integration of convex functions of one real variable

Szymon Wąsowicz

Published: 2024-01-10

Vol. 38 No. 1 (2024)

Adaptive integration of convex functions of one real variable

Szymon Wąsowicz

Abstract

We present an adaptive method of approximate integration of convex (as well as concave) functions based on a certain refinement of the celebrated Hermite–Hadamard inequality. Numerical experiments are performed and the role of harmonic numbers is shown.

Keywords:

adaptive integration , convex function , Hermite–Hadamard inequality , quadrature , midpoint rule , trapezoid rule

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Wąsowicz, S. (2024). Adaptive integration of convex functions of one real variable. Annales Mathematicae Silesianae, 38(1), 120–133. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/16729

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Vol. 38 No. 1 (2024)
Published: 2024-03-27

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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