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

<p>In this article we present a method to get upper bound for some integrals. The method is in connection with on a generalized trapezoidal quadrature formula. Applications for upper bounds of the elliptical integral of the first kind are presented. We compare these bounds with some previous results from the literature.</p>
</abstract>

In this article we present a method to get upper bound for some integrals. The method is in connection with on a generalized trapezoidal quadrature formula. Applications for upper bounds of the elliptical integral of the first kind are presented. We compare these bounds with some previous results from the literature.

Some bounds for the elliptical integral of the first kind

Technical University of Cluj Napoca, România, Faculty of Automatics and Computer Science

General Mathematics

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

In this article we present a method to get upper bound for some integrals. The method is in connection with on a generalized trapezoidal quadrature formula....

Some bounds for the elliptical integral of the first kind

Published Online: Nov 24, 2023

Page range: 59 - 65

Received: May 02, 2023

Accepted: Jun 03, 2023

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

Keywords
the elliptical integral of the first kind, bounds, generalized trapezoidal quadrature formula, generalized convex functions

© 2023 Marius-Mihai Birou, published by Sciendo

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

Some bounds for the elliptical integral of the first kind

Published Online: Nov 24, 2023

Page range: 59 - 65

Received: May 02, 2023

Accepted: Jun 03, 2023

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

Keywordsthe elliptical integral of the first kind, bounds, generalized trapezoidal quadrature formula, generalized convex functions

© 2023 Marius-Mihai Birou, published by Sciendo

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

Keywords
the elliptical integral of the first kind, bounds, generalized trapezoidal quadrature formula, generalized convex functions