Convexities Of Some Functions Involving The Polygamma Functions

被引：0
|
作者：
Cao, Jian [1 ]
Niu, Da-Wei [2 ]
Qi, Feng [3 ]
机构：
[1] East China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
[2] Zhongyuan Univ Technol, Coll Informat & Business, Zhengzhou 450007, Henan, Peoples R China
[3] Henan Polytech Univ, Res Inst Math Inequal Theory, Jiaozuo City 454010, Henan, Peoples R China
来源：
APPLIED MATHEMATICS E-NOTES | 2008年 / 8卷
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this short note, the convexity and concavity of two functions related to the polygamma functions are discussed.
引用
收藏
页码：53 / 57
页数：5
相关论文
共 50 条
  • [31] Several Functions Originating from Fisher-Rao Geometry of Dirichlet Distributions and Involving Polygamma Functions
    Qi, Feng
    Agarwal, Ravi Prakash
    [J]. MATHEMATICS, 2024, 12 (01)
  • [32] On some families of integrals solvable in terms of polygamma and negapolygamma functions
    Boros, G
    Espinosa, O
    Moll, VH
    [J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2003, 14 (03) : 187 - 203
  • [33] Inequalities for the inverses of the polygamma functions
    Necdet Batir
    [J]. Archiv der Mathematik, 2018, 110 : 581 - 589
  • [34] Polygamma functions of negative order
    Adamchik, VS
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 100 (02) : 191 - 199
  • [35] Some monotonicity properties and inequalities for the generalized digamma and polygamma functions
    Yin, Li
    Huang, Li-Guo
    Song, Zhi-Min
    Dou, Xiang Kai
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [36] ACCURATE APPROXIMATIONS TO THE POLYGAMMA FUNCTIONS
    KELLEY, CS
    [J]. QUARTERLY OF APPLIED MATHEMATICS, 1979, 37 (02) : 203 - 207
  • [37] Monotonicity results for the polygamma functions
    Li, Al-Jun
    Yuan, Jun
    Chen, Chao-Ping
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2008, 11 (02): : 307 - 316
  • [38] Inequalities for the gamma and polygamma functions
    Alzer, H
    [J]. ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 1998, 68 (1): : 363 - 372
  • [39] REPRESENTATION AND COMPUTATION OF THE POLYGAMMA FUNCTIONS
    DAVENPORT, JM
    HO, LP
    [J]. AMERICAN STATISTICAL ASSOCIATION 1988 PROCEEDINGS OF THE STATISTICAL COMPUTING SECTION, 1988, : 334 - 337
  • [40] Some monotonicity properties and inequalities for the generalized digamma and polygamma functions
    Li Yin
    Li-Guo Huang
    Zhi-Min Song
    Xiang Kai Dou
    [J]. Journal of Inequalities and Applications, 2018
12345