More accurate estimates for the Wallis’ ratio

Valentin Gabriel Cristea

doi:10.2478/gm-2024-0010

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More accurate estimates for the Wallis’ ratio

General Mathematics

Volume 32 (2024): Issue 2 (December 2024)

By: Valentin Gabriel Cristea

Open Access

|May 2025

Abstract

The aim of this work is to give an improvement of Mahmoud’s inequality from [M. Mahmoud, A. Talat, H. Moustafa, R.P. Agarwal, Completely monotonic functions involving Bateman’s G-function, J. Comput. Anal. Appl., vol. 29, no. 5, 2021, 970-986] about some lower and upper bounds for Wallis’ ratio.

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Articles in this issue

DOI: https://doi.org/10.2478/gm-2024-0010 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023

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Language: English

Page range: 25 - 43

Submitted on: Sep 25, 2024

Accepted on: Dec 17, 2024

Published on: May 15, 2025

Published by: Lucian Blaga University of Sibiu

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Wallis’ ratio,

completely monotonic functions,

speed of convergence,

gamma function

Related subjects:

Mathematics,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics,

Applied mathematics

© 2025 Valentin Gabriel Cristea, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 32 (2024): Issue 2 (December 2024)