MONOTONIC PROPERTIES FOR RATIO OF THE GENERALIZED (p,k)-POLYGAMMA FUNCTIONS

被引：2
|
作者：
Yin, L., I [1 ]
机构：
[1] Binzhou Univ, Coll Sci, Binzhou 256603, Shandong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2022年 / 16卷 / 03期
关键词：
Generalized (p; k)-polygamma functions; monotonicity; inequality; GAMMA; INEQUALITIES; DIGAMMA; SERIES; CONVEXITY; VALUES;
D O I：
10.7153/jmi-2022-16-62
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we show monotonic properties for ratio of the generalized (p,k)-polygamma functions by using Mehrez-Sitnik method. The new inequalities extend the known result ob-tained by Feng Qi.
引用
收藏
页码：915 / 921
页数：7
相关论文
共 50 条
  • [1] Some completely monotonic functions involving the polygamma functions
    Peng Gao
    Journal of Inequalities and Applications, 2019
  • [2] A class of completely monotonic functions involving the polygamma functions
    Li-Chun Liang
    Li-Fei Zheng
    Aying Wan
    Journal of Inequalities and Applications, 2022
  • [3] A class of completely monotonic functions involving the polygamma functions
    Liang, Li-Chun
    Zheng, Li-Fei
    Wan, Aying
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
  • [4] Inequalities concerning the (p, k)-gamma and (p, k)-polygamma functions
    Nantomah, Kwara
    NOTE DI MATEMATICA, 2018, 38 (02): : 93 - 104
  • [5] Some completely monotonic functions involving the polygamma functions
    Gao, Peng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01)
  • [6] Generalized Turan-Type Inequalities for the (q,k)-Polygamma Functions
    Nantomah, Kwara
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2018, 9 (02): : 87 - 92
  • [7] Some completely monotonic functions involving the gamma and polygamma functions
    Li, Ai-Jun
    Chen, Chao-Ping
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (01) : 273 - 287
  • [8] Some completely monotonic functions involving the gamma and polygamma functions
    Qi, F
    Guo, BN
    Chen, CP
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2006, 80 : 81 - 88
  • [9] A class of completely monotonic functions involving the gamma and polygamma functions
    Guo, Bai-Ni
    Qi, Feng
    COGENT MATHEMATICS, 2014, 1
  • [10] Some completely monotonic functions involving polygamma functions and an application
    Qi, F
    Cui, RQ
    Chen, CP
    Guo, BN
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 310 (01) : 303 - 308
12345