APPROXIMATION BY WALSH-KACZMARZ-FEJER MEANS ON THE HARDY SPACE

被引：16
|
作者：
Tephnadze, George [1 ,2 ]
机构：
[1] Tbilisi State Univ, Fac Exact & Nat Sci, Dept Math, GE-0128 Tbilisi, Georgia
[2] Lulea Univ Technol, Dept Engn Sci & Math, SE-97187 Lulea, Sweden
来源：
ACTA MATHEMATICA SCIENTIA | 2014年 / 34卷 / 05期
基金：
美国国家科学基金会;
关键词：
Walsh-Kaczmarz system; Fejer means; martingale Hardy space; modulus of continuity; MAXIMAL OPERATORS; NORLUND MEANS; CESARO SUMMABILITY; FOURIER-SERIES; RESPECT; CONVERGENCE;
D O I：
10.1016/S0252-9602(14)60106-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main aim of this paper is to find necessary and sufficient conditions for the convergence of Walsh-Kaczmarz-Fejer means in the terms of the modulus of continuity on the Hardy spaces H-p, when 0 < p <= 1/2.
引用
收藏
页码：1593 / 1602
页数：10
相关论文
共 50 条
  • [1] On the restricted summability of Walsh-Kaczmarz-Fejer means
    Nagy, Karoly
    GEORGIAN MATHEMATICAL JOURNAL, 2015, 22 (01) : 131 - 140
  • [2] ON THE MAXIMAL OPERATOR OF WALSH-KACZMARZ-FEJER MEANS
    Goginava, Ushangi
    Nagy, Karoly
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2011, 61 (03) : 673 - 686
  • [3] Strong Convergence Theorem for Walsh-Kaczmarz-Fejer Means
    Gogolashvili, Nata
    Nagy, Karoly
    Tephnadze, George
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (02)
  • [4] APPROXIMATION BY WALSH-KACZMARZ-FEJR MEANS ON THE HARDY SPACE
    George TEPHNADZE
    Acta Mathematica Scientia, 2014, 34 (05) : 1593 - 1602
  • [5] Marcinkiewicz-Fejer means of double conjugate Walsh-Kaczmarz-Fourier series and Hardy spaces
    Goginava, Ushangi
    Nagy, Karoly
    TURKISH JOURNAL OF MATHEMATICS, 2012, 36 (02) : 281 - 290
  • [6] The Walsh-Kaczmarz-Marcinkiewicz means and Hardy spaces
    Nagy, K.
    Tephnadze, G.
    ACTA MATHEMATICA HUNGARICA, 2016, 149 (02) : 346 - 374
  • [7] Maximal operators of Fejer means of Walsh-Kaczmarz-Fourier series
    Goginava, Ushangi
    Nagy, Karoly
    JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2010, 8 (02): : 181 - 200
  • [8] The Walsh–Kaczmarz–Marcinkiewicz means and Hardy spaces
    K. Nagy
    G. Tephnadze
    Acta Mathematica Hungarica, 2016, 149 : 346 - 374
  • [9] Approximation by Norlund means of Walsh-Kaczmarz-Fourier series
    Nagy, Karoly
    GEORGIAN MATHEMATICAL JOURNAL, 2011, 18 (01) : 147 - 162
  • [10] MAXIMAL OPERATORS OF T MEANS WITH RESPECT TO WALSH-KACZMARZ SYSTEM
    Gogolashvili, Nata
    Tephnadze, George
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2021, 24 (03): : 737 - 750
12345