A new lower bound in the second Kershaw's double inequality |
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| Authors: | Feng Qi |
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| Affiliation: | 1. College of Mathematics and Information Science, Henan University, Kaifeng City, Henan Province, 475001, China;2. Research Institute of Mathematical Inequality Theory, Henan Polytechnic University, Jiaozuo City, Henan Province 454010, China |
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| Abstract: | In the paper, a new and elegant lower bound in the second Kershaw's double inequality is established, some alternative simple and polished proofs are given, several deduced functions involving the gamma and psi functions are proved to be decreasingly monotonic and logarithmically completely monotonic, and some remarks and comparisons are stated. |
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| Keywords: | 26A48 26A51 26D20 33B10 33B15 65R10 |
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