Monotonic and Logarithmically Convex Properties of a Function Involving Gamma Functions. (5th March 2009)

• Record Type: Journal Article
• Authors: Zhao, Tie-Hong; Chu, Yu-Ming; Jiang, Yue-Ping
• Other Names: Dragomir Sever Academic Editor.
• Is Part Of: Journal of inequalities and applications. Volume 2009(2009)
• Publication Date: 2009-03-05
• Subjects: Inequalities (Mathematics) -- Periodicals; 512.97
• DOI: 10.1155/2009/728612
• Languages: English
• ISSNs: 1029-242X

Abstract

Abstract : Using the series-expansion of digamma functions and other techniques, some monotonicity and logarithmical concavity involving the ratio of gamma function are obtained, which is to give a partially affirmative answer to an open problem posed by B.-N.Guo and F.Qi. Several inequalities for the geometric means of natural numbers are established.