The L1-Norm of a Trigonometric Sum

被引:0
|
作者
K. M. Éminyan
机构
[1] Moscow State University of Applied Biotechnology,
来源
Mathematical Notes | 2004年 / 76卷
关键词
trigonometric sum; 1-norm; Bochkarev's inequality; Karatsuba's estimate; binary expansion of a number;
D O I
暂无
中图分类号
学科分类号
摘要
We obtain estimates of the trigonometric sum \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$S_N (\alpha ) = \sum\nolimits_{n = 1}^N {\varepsilon (n){\text{exp(}}} 2\pi i\alpha n)$$ \end{document}.
引用
收藏
页码:124 / 132
页数:8
相关论文
共 50 条
  • [1] The L1-norm of a trigonometric sum
    Éminyan, KM
    [J]. MATHEMATICAL NOTES, 2004, 76 (1-2) : 124 - 132
  • [2] Trigonometric approximation of functions in L1-norm
    Chandra, Prem
    Karanjgaokar, Varsha
    [J]. PERIODICA MATHEMATICA HUNGARICA, 2022, 84 (02) : 177 - 185
  • [3] TRIGONOMETRIC POLYNOMIAL-APPROXIMATION IN THE L1-NORM
    PEHERSTORFER, F
    [J]. MATHEMATISCHE ZEITSCHRIFT, 1979, 169 (03) : 261 - 269
  • [4] An estimate of the L1-norm of an exponential sum
    Karatsuba, AA
    [J]. MATHEMATICAL NOTES, 1998, 64 (3-4) : 401 - 404
  • [5] Concentration of the L1-norm of trigonometric polynomials and entire functions
    Malykhin, Yu. V.
    Ryutin, K. S.
    [J]. SBORNIK MATHEMATICS, 2014, 205 (11) : 1620 - 1649
  • [6] Binary Compressive Sensing via Sum of l1-norm and l∞-norm Regularization
    Wang, Sheng
    Rahnavard, Nazanin
    [J]. 2013 IEEE MILITARY COMMUNICATIONS CONFERENCE (MILCOM 2013), 2013, : 1616 - 1621
  • [7] On an additive representation associated with the L1-norm of an exponential sum
    Garaev, M. Z.
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2007, 37 (05) : 1551 - 1556
  • [8] Extensions of Moricz Classes and Convergence of Trigonometric Sine Series in L1-Norm
    Chouhan, Sandeep Kaur
    Kaur, Jatinderdeep
    Bhatia, Satvinder Singh
    [J]. MATHEMATICS, 2018, 6 (12)
  • [9] Pruning filters with L1-norm and capped L1-norm for CNN compression
    Kumar, Aakash
    Shaikh, Ali Muhammad
    Li, Yun
    Bilal, Hazrat
    Yin, Baoqun
    [J]. APPLIED INTELLIGENCE, 2021, 51 (02) : 1152 - 1160
  • [10] Pruning filters with L1-norm and capped L1-norm for CNN compression
    Aakash Kumar
    Ali Muhammad Shaikh
    Yun Li
    Hazrat Bilal
    Baoqun Yin
    [J]. Applied Intelligence, 2021, 51 : 1152 - 1160