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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Bibliografiske detaljer

Principais autores:	Yin Hong-Ping, Han Ling-Xiong, Qi Feng
Format:	Artigo
Sprog:	Inglês
Udgivet:	De Gruyter 2024-08-01
Serier:	Demonstratio Mathematica
Fag:	decreasing monotonicity complete monotonicity completely monotonic function trigamma function derivative ratio convolution theorem inequality monotonicity rule laplace transform bernstein’s theorem exponential function guess 33b15 26a48 26d07 33b10 44a10 44a35
Online adgang:	https://doi.org/10.1515/dema-2024-0041
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