Necessary and sufficient conditions for complete monotonicity and monotonicity of two functions defined by two derivatives of a function involving trigamma function - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Applicable Analysis and Discrete Mathematics Année : 2021

Necessary and sufficient conditions for complete monotonicity and monotonicity of two functions defined by two derivatives of a function involving trigamma function

Résumé

In the paper, by virtue of convolution theorem for the Laplace transforms, Bernstein's theorem for completely monotonic functions, some properties of a function involving exponential function, and other analytic techniques, the author finds necessary and sufficient conditions for two functions defined by two derivatives of a function involving trigamma function to be completely monotonic or monotonic. These results generalize corresponding known ones.
Fichier principal
Vignette du fichier
Alice-AADM-3137.pdf (366.78 Ko) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte

Dates et versions

hal-02993723 , version 1 (07-11-2020)
hal-02993723 , version 2 (02-02-2022)

Licence

Paternité - Pas d'utilisation commerciale

Identifiants

Citer

Feng Qi. Necessary and sufficient conditions for complete monotonicity and monotonicity of two functions defined by two derivatives of a function involving trigamma function. Applicable Analysis and Discrete Mathematics, 2021, 15 (2), pp.378--392. ⟨10.2298/AADM191111014Q⟩. ⟨hal-02993723v2⟩
85 Consultations
110 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More