Gamma function estimates via completely monotonicity arguments

被引:0
|
作者
Mortici, Cristinel [1 ]
机构
[1] Valahia Univ, Dept Math, Targoviste 130082, Romania
关键词
Gamma function; approximations; asymptotic series; inequalities; INEQUALITIES;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this paper is to improve some recent results of Sandor and Debnath [On certain inequalities involving the constant e and their applications J. Math. Anal. Appl. 249 (2000) 569-582] and Batir [Sharp inequalities for factorial n Proyecciones 27 (2008) 97-102] about the problem of approximation of gamma function. In proving the results in this paper, the proofs are not completely analytic but essentially based on formal computations obtained by means of software packages.
引用
收藏
页码:93 / 102
页数:10
相关论文
共 50 条
  • [31] Monotonicity of functions connected with the gamma function and the volume of the unit ball
    Guo, Bai-Ni
    Qi, Feng
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2012, 23 (09) : 701 - 708
  • [32] Monotonicity properties, inequalities and asymptotic expansions associated with the gamma function
    Chen, Chao-Ping
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 283 : 385 - 396
  • [33] COMPLETE MONOTONICITY PROPERTIES AND ASYMPTOTIC EXPANSIONS OF THE LOGARITHM OF THE GAMMA FUNCTION
    Chen, Chao-Ping
    Liu, Jing-Yun
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (01): : 379 - 388
  • [34] Some monotonicity and limit results for the regularised incomplete gamma function
    Chojnacki, Wojciech
    ANNALES POLONICI MATHEMATICI, 2008, 94 (03) : 283 - 291
  • [35] SOME MONOTONICITY PROPERTIES AND INEQUALITIES FOR THE (p,k)-GAMMA FUNCTION
    Nantomah, Kwara
    Merovci, Faton
    Nasiru, Suleman
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2018, 42 (02): : 287 - 297
  • [36] ON CALCULATING GAMMA FUNCTION OF NON-INTEGRAL ARGUMENTS
    RAFF, MS
    AMERICAN STATISTICIAN, 1970, 24 (02): : 22 - +
  • [37] COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS AND APPLICATIONS
    Qi, Feng
    Wei, Chun-Fu
    Guo, Bai-Ni
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2012, 6 (01): : 35 - 44
  • [38] Some complete monotonicity properties for the (p, q)-gamma function
    Krasniqi, V. B.
    Srivastava, H. M.
    Dragomir, S. S.
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (21) : 10538 - 10547
  • [39] Logarithmically completely monotonic functions relating to the gamma function
    Chen, Chao-Ping
    Qi, Feng
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 321 (01) : 405 - 411
  • [40] Completely monotonic functions associated with gamma function and applications
    Mortici, C.
    CARPATHIAN JOURNAL OF MATHEMATICS, 2009, 25 (02) : 186 - 191