A Class of Logarithmically Completely Monotonic Functions and the Best Bounds in the First Kershaw's Double Inequality

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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