A lower bound for the beta function
Classical Analysis and ODEs
2023-05-05 v1
Abstract
We present a new lower bound for Euler's beta function, , which states that the inequality \begin{equation*} B(x,y)>\frac{x+y}{xy}\left(1-\frac{2xy}{x+y+1}\right) \end{equation*} holds on , which improves a lower bound obtained by P. Iv\'{a}dy [12, Theorem, (3.2)] in the case of .
Keywords
Cite
@article{arxiv.2305.02754,
title = {A lower bound for the beta function},
author = {Tiehong Zhao and Miaokun Wang},
journal= {arXiv preprint arXiv:2305.02754},
year = {2023}
}