Adaptive Integration of Convex Functions of One Real Variable

Adaptive Integration of Convex Functions of One Real Variable

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.

Bibliographic Details
Main Author:	Wąsowicz Szymon
Format:	Article
Language:	English
Published:	Sciendo 2024-03-01
Series:	Annales Mathematicae Silesianae
Subjects:	adaptive integration convex function hermite–hadamard inequality quadrature midpoint rule trapezoid rule 41a55 65d30 65d32 26a51 26d15
Online Access:	https://doi.org/10.2478/amsil-2023-0028

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