Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function

In this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property of a ratio between three derivatives of a fun...

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Bibliographic Details
Main Authors: Yin Hong-Ping, Han Ling-Xiong, Qi Feng
Format: Article
Language:English
Published: De Gruyter 2024-08-01
Series:Demonstratio Mathematica
Subjects:
Online Access:https://doi.org/10.1515/dema-2024-0041