Necessary and sufficient conditions for a difference constituted by four derivatives of a function involving trigamma function to be completely monotonic

DOI10.7153/mia-2021-24-58zbMath1483.33001OpenAlexW3204710017MaRDI QIDQ5153593

Feng Qi

Publication date: 30 September 2021

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2021-24-58

zbMATH Keywords

derivativenecessary and sufficient conditiondifferencecomplete monotonicitytrigamma functionconvolution theorem for the Laplace transformsBernstein's theorem for completely monotonic functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Laplace transform (44A10) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48) Inequalities involving other types of functions (26D07)

Related Items (4)

Decreasing property and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma function ⋮ Lower bound of sectional curvature of Fisher-Rao manifold of beta distributions and complete monotonicity of functions involving polygamma functions ⋮ Necessary and sufficient conditions for complete monotonicity and monotonicity of two functions defined by two derivatives of a function involving trigamma function ⋮ Decreasing properties of two ratios defined by three and four polygamma functions

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