Exponential, gamma and polygamma functions: Simple proofs of classical and new inequalities

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:407

Article

Laforgia, Andrea¹  Natalini, Pierpaolo¹ 

[1] Roma Tre Univ, Dept Math, I-00146 Rome, Italy

关键词: Mean value theorem;    Inequalities;    Gamma function;    Ratio of gamma functions;    Polygamma functions;   

DOI  :  10.1016/j.jmaa.2013.05.045

来源: Elsevier

【 摘 要 】

Some inequalities for the exponential, gamma and polygamma functions are established by means of the mean value theorem of differential calculus. In particular, the cases of the ratio of gamma and polygamma functions are considered. In some cases the results are new, in some others, classical results are recovered or extended. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free