A class of logarithmically completely monotonic functions and the best bounds in the first Kershaw's double inequality

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摘要

In the article, the logarithmically complete monotonicity of a class of functions involving Euler's gamma function are proved, a class of the first Kershaw-type double inequalities are established, and the first Kershaw's double inequality and Wendel's inequality are generalized, refined or extended. Moreover, an open problem is posed.

论文关键词：primary,33B15,65R10,secondary,26A48,26A51,26D20,Gamma function,Logarithmically completely monotonic function,Best bound,The first Kershaw's double inequality,J.G. Wendel's inequality,Refinement,Generalization,Extension,Open problem

论文评审过程：Received 8 June 2006, Revised 14 September 2006, Available online 30 October 2006.

论文官网地址：https://doi.org/10.1016/j.cam.2006.09.005