Some beta-function inequalities
Published online by Cambridge University Press: 12 July 2007
Abstract
We present several new inequalities for Euler's beta function, B(x, y). One of our results states that the beta function can be approximated on (0, 1] × (0, 1] by rational functions as follows,
with the best possible constants α = 1 and β = ⅔π2 − 4 = 2.579 73 ….
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 4 , August 2003 , pp. 731 - 745
- Copyright
- Copyright © Royal Society of Edinburgh 2003
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