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

Autor:	Yin Hong-Ping, Han Ling-Xiong, Qi Feng
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	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 Mathematics QA1-939
Zdroj:	Demonstratio Mathematica, Vol 57, Iss 1, Pp 378-392 (2024)
Druh dokumentu:	article
ISSN:	2391-4661
DOI:	10.1515/dema-2024-0041
Popis:	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 function involving trigamma function and find the necessary and sufficient conditions for a function defined by three derivatives of a function involving trigamma function to be completely monotonic. These results confirm previous guesses posed by Qi and generalize the corresponding known conclusions.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/3cd5502b78df464ab8af78bf142af249 Zobrazit plný text záznamu View record in DOAJ