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december 2010 Sharp inequalities and complete monotonicity for the Wallis ratio
Cristinel Mortici
Bull. Belg. Math. Soc. Simon Stevin 17(5): 929-936 (december 2010). DOI: 10.36045/bbms/1292334067

Abstract

The aim of this paper is to prove the complete monotonicity of a class of functions arising from Kazarinoff's inequality [Edinburgh Math. Notes 40 (1956) 19-21]. As applications, new sharp inequalities for the gamma and digamma functions are established.

Citation

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Cristinel Mortici. "Sharp inequalities and complete monotonicity for the Wallis ratio." Bull. Belg. Math. Soc. Simon Stevin 17 (5) 929 - 936, december 2010. https://doi.org/10.36045/bbms/1292334067

Information

Published: december 2010
First available in Project Euclid: 14 December 2010

zbMATH: 1209.26026
MathSciNet: MR2777782
Digital Object Identifier: 10.36045/bbms/1292334067

Subjects:
Primary: 26D07 , 26D15 , 33B15

Keywords: completely monotonic functions , digamma function , Gamma function , Kazarinoff's inequality , polygamma functions

Rights: Copyright © 2010 The Belgian Mathematical Society

Vol.17 • No. 5 • december 2010
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