Complete monotonicity and inequalities related to generalized k-gamma and k-polygamma functions

Complete monotonicity and inequalities related to generalized k-gamma and k-polygamma functions

In this paper, we prove new complete monotonicity properties of some functions related to generalized k -gamma and k -polygamma functions. Applications of the results yield various new inequalities. In the end, double inequalities are constructed involving the k -generalized digamma and polygamma fu...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of inequalities and applications 2020-01, Vol.2020 (1), p.1-12, Article 21
Hauptverfasser: Zhang, Ju-Mei, Yin, Li, You, Hong-Lian
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Complete monotonicity
Generalized k-gamma and k-polygamma functions
Inequalities
Inequality
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we prove new complete monotonicity properties of some functions related to generalized k -gamma and k -polygamma functions. Applications of the results yield various new inequalities. In the end, double inequalities are constructed involving the k -generalized digamma and polygamma functions.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-020-2287-0