<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

Adaptive Integration of Convex Functions of One Real Variable

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"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...

Adaptive Integration of Convex Functions of One Real Variable

Data publikacji: 10 sty 2024

Zakres stron: 120 - 133

Otrzymano: 14 lip 2023

Przyjęty: 18 gru 2023

DOI: https://doi.org/10.2478/amsil-2023-0028

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

© 2023 Szymon Wąsowicz, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Adaptive Integration of Convex Functions of One Real Variable

Data publikacji: 10 sty 2024

Zakres stron: 120 - 133

Otrzymano: 14 lip 2023

Przyjęty: 18 gru 2023

DOI: https://doi.org/10.2478/amsil-2023-0028

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

© 2023 Szymon Wąsowicz, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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