Complete monotonicity of a function involving the divided difference of digamma functions |
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| Authors: | Feng Qi QiuMing Luo BaiNi Guo |
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| Affiliation: | 1. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454010, China
2. Department of Mathematics, Chongqing Normal University, Chongqing, 401331, China
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| Abstract: | In the paper, necessary and sufficient conditions are provided for a function involving the divided difference of two psi functions to be completely monotonic. Consequently, a class of inequalities for sums are presented, the logarithmically complete monotonicity of a function involving the ratio of two gamma functions are derived, and two double inequalities for bounding the ratio of two gamma functions are discovered. |
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