A Convexity Result for Gamma Function and Its Application
Received:March 28, 2004  
Key Words: $\Gamma$ function   convexity   Wallis' inequality.  
Fund Project:
Author NameAffiliation
CHEN Chao-ping College of Math. \& Inform., Henan Polytechnic University, Jiaozuo 454010, China 
QI Feng College of Math. \& Inform., Henan Polytechnic University, Jiaozuo 454010, China 
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Abstract:
      By using some properties of $\Gamma$ function and its logarithmic derivative, and the convolution theorem for Laplace transforms, a convexity result of $\Gamma$ function is obtained. As an application, the well-known Wallis' inequality is refined.
Citation:
DOI:10.3770/j.issn:1000-341X.2006.02.023
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