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

被引:0
作者
Li Yin
Li-Guo Huang
Xiu-Li Lin
Yong-Li Wang
机构
[1] Binzhou University,College of Science
[2] Qufu Normal University,College of Mathematics Science
[3] Shandong University of Science and Technology,College of Mathematics and Systems Science
来源
Advances in Difference Equations | / 2018卷
关键词
Generalized digamma function; Complete monotonicity; Inequality; Concavity; 33B15;
D O I
暂无
中图分类号
学科分类号
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
相关论文
共 50 条
  • [21] Inequalities and monotonicity properties for the gamma function
    Giordano, C
    Laforgia, A
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2001, 133 (1-2) : 387 - 396
  • [22] COMPLETE MONOTONICITY OF SOME FUNCTIONS INVOLVING k-DIGAMMA FUNCTION WITH APPLICATION
    Yin, Li
    Huang, Li-Guo
    Lin, Xiu-Li
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (01): : 229 - 238
  • [23] MONOTONICITY, CONVEXITY AND INEQUALITIES INVOLVING THE GENERALIZED ELLIPTIC INTEGRALS
    Wang, Miaokun
    Zhang, Wen
    Chu, Yuming
    ACTA MATHEMATICA SCIENTIA, 2019, 39 (05) : 1440 - 1450
  • [24] MONOTONICITY AND INEQUALITIES INVOLVING ZERO-BALANCED HYPERGEOMETRIC FUNCTION
    Wang, Miao-Kun
    Chu, Yu-Ming
    Zhang, Wen
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2019, 22 (02): : 601 - 617
  • [25] MONOTONICITY,CONVEXITY AND INEQUALITIES INVOLVING THE GENERALIZED ELLIPTIC INTEGRALS
    王淼坤
    张稳
    褚玉明
    ActaMathematicaScientia, 2019, 39 (05) : 1440 - 1450
  • [26] Monotonicity, Convexity and Inequalities Involving the Generalized Elliptic Integrals
    Miaokun Wang
    Wen Zhang
    Yuming Chu
    Acta Mathematica Scientia, 2019, 39 : 1440 - 1450
  • [27] MONOTONICITY AND INEQUALITIES INVOLVING THE INCOMPLETE GAMMA FUNCTION
    Lv, Hui-Lin
    Yang, Zhen-Hang
    Zheng, Shenzhou
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2019, 13 (02): : 351 - 367
  • [28] Monotonicity properties and inequalities of functions related to means
    Chen, Chao-Ping
    Qi, Feng
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2006, 36 (03) : 857 - 865
  • [29] Monotonicity theorems and inequalities for the Hubner function with applications
    Ma, Xiao-Yan
    Qiu, Song-Liang
    Jiang, Hong-Biao
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 498 (02)
  • [30] A harmonic mean inequality for the digamma function and related results
    Alzer, Horst
    Jameson, Graham
    RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2017, 137 : 203 - 209