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
  • [1] Monotonicity, concavity, and inequalities related to the generalized digamma function
    Yin, Li
    Huang, Li-Guo
    Lin, Xiu-Li
    Wang, Yong-Li
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [2] MONOTONICITY PROPERTIES ON k-DIGAMMA FUNCTION AND ITS RELATED INEQUALITIES
    Yildirim, Emrah
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2020, 14 (01): : 161 - 173
  • [3] Some monotonicity properties and inequalities for the generalized digamma and polygamma functions
    Li Yin
    Li-Guo Huang
    Zhi-Min Song
    Xiang Kai Dou
    Journal of Inequalities and Applications, 2018
  • [4] Some monotonicity properties and inequalities for the generalized digamma and polygamma functions
    Yin, Li
    Huang, Li-Guo
    Song, Zhi-Min
    Dou, Xiang Kai
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [5] Monotonicity versions of Epstein?s Concavity Theorem and related inequalities
    Carlen, Eric A.
    Zhang, Haonan
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2022, 654 : 289 - 310
  • [6] MONOTONICITY AND INEQUALITIES FOR THE GENERALIZED DISTORTION FUNCTION
    马晓艳
    褚玉明
    王飞
    Acta Mathematica Scientia, 2013, 33 (06) : 1759 - 1766
  • [7] MONOTONICITY AND INEQUALITIES FOR THE GENERALIZED DISTORTION FUNCTION
    Ma, Xiaoyan
    Chu, Yuming
    Wang, Fei
    ACTA MATHEMATICA SCIENTIA, 2013, 33 (06) : 1759 - 1766
  • [8] Inequalities and monotonicity of ratios for generalized hypergeometric function
    Karp, D.
    Sitnik, S. M.
    JOURNAL OF APPROXIMATION THEORY, 2009, 161 (01) : 337 - 352
  • [9] Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler-Mascheroni constant
    Chen, Chao-Ping
    Srivastava, H. M.
    Li, Li
    Manyama, Seiichi
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2011, 22 (09) : 681 - 693
  • [10] ZEROS OF BESSEL FUNCTIONS: MONOTONICITY, CONCAVITY, INEQUALITIES
    Laforgia, Andrea
    Natalini, Pierpaolo
    MATEMATICHE, 2007, 62 (02): : 255 - 270
12345