The Best Bounds in Kershaw's Inequality and Two Completely Monotonic Functions
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Qi, Feng (2006) The Best Bounds in Kershaw's Inequality and Two Completely Monotonic Functions. Research report collection, 9 (4).
Abstract
A new proof for monotonicity and convexity of a function deduced from Kershaw’s inequality involving the Wallis’ function about the Euler’s gamma function is provided. The complete monotonicity results of two functions involving the divided differences of the psi function ψ and polygamma function ψ' are established.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/17585 |
| Subjects | Historical > FOR Classification > 0101 Pure Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | monotonicity, convexity, complete monotonicity, divided difference, gamma function, psi function, polygamma function, Wallis' function, Kershaw's inequality |
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