Linear transformations preserving log-convexity

被引：0
|
作者：
Liu, Lily L. [1 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
来源：
ARS COMBINATORIA | 2011年 / 100卷
关键词：
Log-convexity; Log-concavity; q-Log-convexity; Linear transformations; Stirling numbers; Lah numbers; Whitney numbers; Dowling lattice; WHITNEY NUMBERS; CONJECTURE; SEQUENCES; PROOF;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study linear transformations preserving log-convexity, when the triangular array satisfies some ordinary convolution. As applications, we show that the Stirling transformations of two kinds, the Lah transformation, the generalized Stirling transformation of the second kind and the Dowling transformations of two kinds preserve the log-convexity.
引用
收藏
页码：473 / 483
页数：11
相关论文
共 50 条
  • [41] Log-concavity and log-convexity of series containing multiple Pochhammer symbols
    Dmitrii Karp
    Yi Zhang
    Fractional Calculus and Applied Analysis, 2024, 27 : 458 - 486
  • [42] ATOMIC-CHARGE LOG-CONVEXITY AND RADIAL EXPECTATION VALUES
    ANGULO, JC
    DEHESA, JS
    JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1991, 24 (13) : L299 - L306
  • [43] The asymptotic log-convexity of Apéry-like numbers
    Mao, Jianxi
    Pei, Yanni
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2023, 29 (08) : 799 - 813
  • [44] Log-Convexity of Rate Region in 802.11e WLANs
    Leith, Douglas J.
    Subramanian, Vijay G.
    Duffy, Ken R.
    IEEE COMMUNICATIONS LETTERS, 2010, 14 (01) : 57 - 59
  • [45] TWO-CATALAN NUMBERS: COMBINATORIAL INTERPRETATION AND LOG-CONVEXITY
    Ghemit, Yousra
    Ahmia, Moussa
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2024, 86 (04): : 91 - 102
  • [46] On the Monotonicity and Log-Convexity of a Four-Parameter Homogeneous Mean
    Zhen-Hang Yang
    Journal of Inequalities and Applications, 2008
  • [47] Near log-convexity of measured heat in (discrete) time and consequences
    Saglam, Mert
    2018 IEEE 59TH ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE (FOCS), 2018, : 967 - 978
  • [48] LOG-CONVEXITY AND CAUCHY MEANS RELATED TO BERWALD'S INEQUALITY
    Latif, Naveed
    Pecaric, Josip
    Peric, Ivan
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2012, 6 (01): : 43 - 56
  • [49] On the monotonicity and log-convexity of a four-parameter homogeneous mean
    Yang, Zhen-Hang
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)
  • [50] Log-convexity of minimal feasible total power in CDMA channels
    Boche, H
    Stanczak, S
    PIMRC 2003: 14TH IEEE 2003 INTERNATIONAL SYMPOSIUM ON PERSONAL, INDOOR AND MOBILE RADIO COMMUNICATIONS PROCEEDINGS, VOLS 1-3 2003, 2003, : 1456 - 1460
12345