Sharp inequalities and complete monotonicity for the Wallis ratio
Mortici, Cristinel
Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, p. 929-936 / Harvested from Project Euclid
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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.
Publié le : 2010-12-15
Classification:  Gamma function,  digamma function,  polygamma functions,  completely monotonic functions,  Kazarinoff's inequality,  26D15,  33B15,  26D07 
@article{1292334067,
     author = {Mortici, Cristinel},
     title = {Sharp inequalities and complete monotonicity for the Wallis ratio},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {17},
     number = {1},
     year = {2010},
     pages = { 929-936},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1292334067}
}

Mortici, Cristinel. Sharp inequalities and complete monotonicity for the Wallis ratio. Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, pp.  929-936. http://gdmltest.u-ga.fr/item/1292334067/