A Class of Logarithmically Completely Monotonic Functions and the Best Bounds in the First Kershaw's Double Inequality
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Qi, Feng (2006) A Class of Logarithmically Completely Monotonic Functions and the Best Bounds in the First Kershaw's Double Inequality. Research report collection, 9 (2).
Abstract
In the article, the logarithmically complete monotonicity of a class of functions involving the 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.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/17487 |
| Subjects | Historical > FOR Classification > 0101 Pure Mathematics Historical > FOR Classification > 0103 Numerical and Computational Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | gamma function, logarithmically completely monotonic function, the best bounds, the first Kershaw's double inequality, J. Wendel's inequality, refinement, generalization, extension, open problem |
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