Some Inequalities of the Incomplete Gamma and Related Functions

被引：0
|
作者：
Qi, Feng [1 ]
Mei, Jia-Qiang [2 ]
机构：
[1] Jiaozuo Inst Techn, Dept Math, Jiaozuo City 454000, Henan, Peoples R China
[2] Univ Sci & Techn China, Dept Math, Hefei 230026, Anhui, Peoples R China
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 1999年 / 18卷 / 03期
关键词：
Inequalities; incomplete gamma function; complementary error function;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the article, many inequalities of the integrals integral(infinity)(x) e(-tp) dt, integral(x)(0) e(-tp) dt, integral(x)(0) e(tp) dt for p > 0, which are related to the incomplete gamma function, are established. The approach used in the paper could yield more particular inequalities of the above functions. Some known results are generalized, extended or refined.
引用
收藏
页码：793 / 799
页数：7
相关论文
共 50 条
  • [21] SOME PARAMETERIZED INEQUALITIES ARISING FROM THE TEMPERED FRACTIONAL INTEGRALS INVOLVING THE (μ,n)-INCOMPLETE GAMMA FUNCTIONS
    Cao, Yu
    Cao, Jifeng
    Tan, Pinzheng
    Du, Tingsong
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2022, 16 (03): : 1091 - 1121
  • [22] INEQUALITIES AND COMPLETE MONOTONICITY FOR THE GAMMA AND RELATED FUNCTIONS
    Chen, Chao-Ping
    Choi, Junesang
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 34 (04): : 1261 - 1278
  • [23] ON SOME INEQUALITIES FOR GAMMA AND BETA k-FUNCTIONS VIA SOME CLASSICAL INEQUALITIES
    Mubeen, Shahid
    Iqbal, Sana
    Naz, Mammona
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2016, 7 (02): : 17 - 25
  • [24] Inequalities for the incomplete gamma function
    Natalini, P
    Palumbo, B
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2000, 3 (01): : 69 - 77
  • [25] SOME PROBABILITY THEORY-BASED INEQUALITIES FOR THE INCOMPLETE GAMMA FUNCTION
    From, Steven G.
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2023, 14 (01): : 1 - 15
  • [26] SOME INEQUALITIES SATISFIED BY BETA-FUNCTIONS AND GAMMA-FUNCTIONS
    KABE, DG
    SOUTH AFRICAN STATISTICAL JOURNAL, 1978, 12 (01) : 25 - 31
  • [27] Some results on Kwong functions and related inequalities
    Najafi, Hamed
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (09) : 2634 - 2641
  • [28] SOME BOUNDING INEQUALITIES FOR THE JACOBI AND RELATED FUNCTIONS
    Srivastava, H. M.
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2007, 1 (01): : 131 - 138
  • [29] Some matrix inequalities related to Kwong functions
    Zhao, Jianguo
    Wu, Junliang
    LINEAR & MULTILINEAR ALGEBRA, 2019, 67 (05): : 995 - 1005
  • [30] SOME INEQUALITIES ON MILL RATIO AND RELATED FUNCTIONS
    SAMPFORD, MR
    ANNALS OF MATHEMATICAL STATISTICS, 1953, 24 (01): : 130 - 132
12345