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Indexed by:期刊论文

Date of Publication:2014-08-01

Journal:APPLIED MATHEMATICS AND COMPUTATION

Included Journals:SCIE、EI、Scopus

Volume:240

Page Number:168-174

ISSN No.:0096-3003

Key Words:Gamma function; Wallis ratio; Inequalities; Approximations; Asymptotic series; Complete monotonicity

Abstract:Motivated by the work of Chen and Qi (2005) [3] we study the products Pi(pi)(k=1) 3k-2/3k and Pi(pi)(k=1) 3k-1/3k. We prove that some functions associated to the previous products are completely monotonic and we establish some sharp inequalities. (C) 2014 Elsevier Inc. All rights reserved.