Some applications of de Bruijn's inequality for power series

被引：6
|
作者：
Cerone, P. [1 ]
Dragomir, S. S. [1 ]
机构：
[1] Victoria Univ, Sch Comp Sci & Math, Melbourne, Vic 8001, Australia
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2007年 / 18卷 / 06期
关键词：
de Bruijn inequality; power series; complex functions; Gauss hypergeometric functions; polylogarithm;
D O I：
10.1080/10652460701281509
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Some inequalities for power series with real coefficients via the de Bruijn inequality are established. Applications for fundamental complex functions such as the exp, cos, sin, cosh, sinh and 1n are also given.
引用
收藏
页码：387 / 396
页数：10
相关论文
共 50 条
  • [31] A new digraphs composition with applications to de Bruijn and generalized de Bruijn digraphs (vol 77, pg 99, 1997)
    Barth, D
    Heydemann, MC
    DISCRETE APPLIED MATHEMATICS, 1997, 80 (01) : 115 - 115
  • [32] The de Bruijn–Erdős theorem for hypergraphs
    Noga Alon
    Keith E. Mellinger
    Dhruv Mubayi
    Jacques Verstraëte
    Designs, Codes and Cryptography, 2012, 65 : 233 - 245
  • [33] Smooth integers and de Bruijn's approximation ?
    Gorodetsky, Ofir
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2023,
  • [34] A Parallel Connectivity Algorithm for de Bruijn Graphs in Metagenomic Applications
    Flick, Patrick
    Jain, Chirag
    Pan, Tony
    Aluru, Srinivas
    PROCEEDINGS OF SC15: THE INTERNATIONAL CONFERENCE FOR HIGH PERFORMANCE COMPUTING, NETWORKING, STORAGE AND ANALYSIS, 2015,
  • [35] Some results on embeddings of algebras, after de Bruijn and McKenzie
    Bergman, George M.
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2007, 18 (03): : 349 - 403
  • [36] Some Necessary Conditions for Feedback Functions of de Bruijn Sequences
    Hu, Daohuan
    Chen, Shiqi
    Xu, Xiaofang
    Xiong, Yazhou
    APPLIED MATHEMATICS AND NONLINEAR SCIENCES, 2022, 8 (02) : 215 - 224
  • [37] Some inequalities for power series with nonnegative coefficients via a reverse of Jensen inequality
    Dragomir, Silvestru Sever
    ANNALES MATHEMATICAE ET INFORMATICAE, 2015, 45 : 25 - 37
  • [38] De Bruijn's weak diamond property revisited
    Endrullis, Joerg
    Klop, Jan Willem
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2013, 24 (04): : 1050 - 1072
  • [39] De Bruijn’s question on the zeros of Fourier transforms
    Haseo Ki
    Young-One Kim
    Journal d’Analyse Mathématique, 2003, 91 : 369 - 387
  • [40] On some extensions of Hardy-Hilbert's inequality and applications
    Azar, Laith Emil
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008,
12345