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:
Online Access:https://doi.org/10.2478/amsil-2023-0028