Monotonicity, concavity, and inequalities related to the generalized digamma function

被引：9
|
作者：
Yin, Li [1 ]
Huang, Li-Guo [1 ]
Lin, Xiu-Li [2 ]
Wang, Yong-Li [3 ]
机构：
[1] Binzhou Univ, Coll Sci, Binzhou City, Peoples R China
[2] Qufu Normal Univ, Coll Math Sci, Qufu City, Peoples R China
[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2018年
基金：
中国国家自然科学基金;
关键词：
Generalized digamma function; Complete monotonicity; Inequality; Concavity; POSITIVE SOLUTIONS; GAMMA;
D O I：
10.1186/s13662-018-1695-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish a concave theorem and some inequalities for the generalized digamma function. Hence, we give complete monotonicity property of a determinant function involving all kinds of derivatives of the generalized digamma function.
引用
收藏
页数：9
相关论文
共 50 条
  • [11] 107.22 Quick proofs of two inequalities related to the digamma function
    Khan, Rasul
    Silberger, Allan
    MATHEMATICAL GAZETTE, 2023, 107 (569): : 324 - 327
  • [12] COMPLETE MONOTONICITY PROPERTY FOR TWO FUNCTIONS RELATED TO THE q-DIGAMMA FUNCTION
    Salem, Ahmed
    Alzahrani, Faris
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2019, 13 (01): : 37 - 52
  • [13] Monotonicity and inequalities related to the generalized inverse Lemniscate functions
    Yin, Li
    Lin, Xiu Li
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2022, 116 (01)
  • [14] Monotonicity and inequalities related to the generalized inverse Lemniscate functions
    Li Yin
    Xiu Li Lin
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022, 116
  • [15] MONOTONICITY AND SHARP INEQUALITIES RELATED TO GAMMA FUNCTION
    Yang, Zhen-Hang
    Tian, Jingfeng
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2018, 12 (01): : 1 - 22
  • [16] THE DIGAMMA AND A RELATED FUNCTION
    SHAFER, RE
    AMERICAN MATHEMATICAL MONTHLY, 1985, 92 (08): : 597 - 599
  • [17] Mean Value Inequalities for the Digamma Function
    H. Alzer
    M. K. Kwong
    Analysis Mathematica, 2023, 49 : 1 - 17
  • [18] Mean Value Inequalities for the Digamma Function
    Alzer, H.
    Kwong, M. K.
    ANALYSIS MATHEMATICA, 2023, 49 (01) : 1 - 17
  • [19] Monotonicity properties and inequalities related to generalized Grotzsch ring functions
    Wang, Fei
    He, Jian-Hui
    Yin, Li
    Qi, Feng
    OPEN MATHEMATICS, 2019, 17 : 802 - 812
  • [20] On the generalized monotonicity of variational inequalities
    Bai, Min-Ru
    Zhou, Shu-Zi
    Ni, Gu-Yan
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 53 (06) : 910 - 917
12345