Adaptive Integration of Convex Functions of One Real Variable
| 10. Jan. 2024
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Online veröffentlicht: 10. Jan. 2024
Seitenbereich: 120 - 133
Eingereicht: 14. Juli 2023
Akzeptiert: 18. Dez. 2023
DOI: https://doi.org/10.2478/amsil-2023-0028
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© 2023 Szymon Wąsowicz, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
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.