Complete monotonicity related to the k-polygamma functions with applications

被引：1
|
作者：
Yin, Li [1 ]
Zhang, Jumei [1 ]
Lin, XiuLi [2 ]
机构：
[1] Binzhou Univ, Coll Sci, Binzhou, Peoples R China
[2] Qufu Normal Univ, Coll Math Sci, Qufu, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Complete monotonicity; k-digamma function; k-polygamma functions; CONVEXITY PROPERTIES; SHARP INEQUALITIES; GAMMA; PSI; DIGAMMA; ZETA;
D O I：
10.1186/s13662-019-2299-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove complete monotonicity of some functions involving k-polygamma functions. As an application of the main result, we also give new upper and lower bounds of the k-digamma function.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] Complete monotonicity related to the k-polygamma functions with applications
    Li Yin
    Jumei Zhang
    XiuLi Lin
    [J]. Advances in Difference Equations, 2019
  • [2] Complete monotonicity and inequalities related to generalized k-gamma and k-polygamma functions
    Ju-Mei Zhang
    Li Yin
    Hong-Lian You
    [J]. Journal of Inequalities and Applications, 2020
  • [3] Complete monotonicity and inequalities related to generalized k-gamma and k-polygamma functions
    Zhang, Ju-Mei
    Yin, Li
    You, Hong-Lian
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [4] Complete Monotonicity and Inequalities Involving the k-Gamma and k-Polygamma Functions
    Zhang, Ju-Mei
    Yin, Li
    You, Hong-Lian
    [J]. MATHEMATICA SLOVACA, 2023, 73 (05) : 1217 - 1230
  • [5] Complete monotonicity of some functions involving polygamma functions
    Qi, Feng
    Guo, Senlin
    Guo, Bai-Ni
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 233 (09) : 2149 - 2160
  • [6] Monotonicity of a mean related to polygamma functions with an application
    Zhen-Hang Yang
    Shen-Zhou Zheng
    [J]. Journal of Inequalities and Applications, 2016
  • [7] COMPLETE MONOTONICITY INVOLVING THE DIVIDED DIFFERENCE OF POLYGAMMA FUNCTIONS
    Yang, Zhen-Hang
    Tian, Jing-Feng
    [J]. APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2023, 17 (01) : 138 - 158
  • [8] Monotonicity of a mean related to polygamma functions with an application
    Yang, Zhen-Hang
    Zheng, Shen-Zhou
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [9] Completely monotonicity of class functions involving the polygamma and related functions
    Ravi, B.
    Lakshmi, A. Venakata
    [J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2021, 14 (04)
  • [10] Complete monotonicity results for some functions involving the gamma and polygamma functions
    Sevli, Hamdullah
    Batir, Necdet
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (9-10) : 1771 - 1775
12345