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The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name. |
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STUDIA MATHEMATICA - Issue no. 2 / 2015 | |||||||
Article: |
A DIRECT APPROACH FOR PROVING WALLIS RATIO ESTIMATES AND AN IMPROVEMENT OF ZHANG-XU-SITU INEQUALITY. Authors: . |
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Abstract: In time, inequalities about Wallis ratio and related functions were presented by many mathematicians. In this paper, we show how estimates on the Wallis ratio can be obtained using the asymptotic series. Finally, an improvement of an inequality due to X.-M. Zhang, T.-Q. Xu and L.-B. Situ [Geometric convexity of a function involving gamma function and application to inequality theory, J. Inequal. Pure Appl. Math. 8 (1) (2007) Art. 17, 9 pp.] is presented. Mathematics Subject Classification (2010): 33B15, 34E05, 41A60. Keywords: Gamma function, Wallis ratio, asymptotic series, inequalities. |
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