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

<p>In this paper, we look at the general form of the two-point quadrature formulas, which doesn’t have to be symmetric. Under the convexity constraint of the first derivative, we propose a new scheme that gives the best approximation of the two-point quadrature rules.</p>
</abstract>

In this paper, we look at the general form of the two-point quadrature formulas, which doesn’t have to be symmetric. Under the convexity constraint of the first derivative, we propose a new scheme that gives the best approximation of the two-point quadrature rules.

Refinement of the general form of the two-point quadrature formulas via convexity

Journal of Applied Mathematics, Statistics and Informatics

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

In this paper, we look at the general form of the two-point quadrature formulas, which doesn’t have to be symmetric. Under the convexity constraint of the...

Refinement of the general form of the two-point quadrature formulas via convexity

Published Online: Jun 09, 2023

Page range: 93 - 101

DOI: https://doi.org/10.2478/jamsi-2023-0006

Keywords
Newton-Cotes formulas, trapezoid inequality, convex functions

© 2023 D. C. Benchettah et al., published by Sciendo

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

Refinement of the general form of the two-point quadrature formulas via convexity

Published Online: Jun 09, 2023

Page range: 93 - 101

DOI: https://doi.org/10.2478/jamsi-2023-0006

KeywordsNewton-Cotes formulas, trapezoid inequality, convex functions

© 2023 D. C. Benchettah et al., published by Sciendo

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

Keywords
Newton-Cotes formulas, trapezoid inequality, convex functions