About bounds for the elliptic integral of the first kind

We deduce an inequality using elementary methods which makes it possible to prove a conjecture regarding the upper bound of the elliptic integral of the first kind, furthermore we also improve the lower bound.

Bibliographic Details
Main Authors: Pál A. Kupán, Róbert Szász
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2012-08-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://www.ictp.acad.ro/jnaat/journal/article/view/976