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论文类型：期刊论文

发表时间：2014-08-01

发表刊物：APPLIED MATHEMATICS AND COMPUTATION

收录刊物：SCIE、EI、Scopus

卷号：240

页面范围：168-174

ISSN号：0096-3003

关键字：Gamma function; Wallis ratio; Inequalities; Approximations; Asymptotic series; Complete monotonicity

摘要：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.