Absolute convergence of Fourier series of functions of class Lip 1 and of functions of bounded variation

被引:9
作者
Tsagareishvili, V. Sh. [1 ]
机构
[1] Tbilisi State Univ, Tbilisi, Georgia
关键词
Fourier series; Fourier coefficients; function of bounded variation; orthonormal system;
D O I
10.1070/IM2012v076n02ABEH002589
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study problems of the absolute convergence of Fourier series with respect to general orthonormal systems for functions in certain classes.
引用
收藏
页码:419 / 429
页数:11
相关论文
共 6 条
  • [1] Alexits G., 1961, CONVERGENCE PROBLEMS
  • [2] Banach S., 1940, STUD MATH, V9, P139, DOI 10.4064/sm-9-1-139-155
  • [3] Bochkarev S. V., 1980, P STEKLOV I MATH, V146, P1
  • [4] Golubov BI, 1964, IZV AKAD NAUK SSSR M, V28, P1271
  • [5] INTEGRATED ORTHONORMAL SERIES
    MCLAUGHLIN, JR
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 1972, 42 (02) : 469 - +
  • [6] Ul'janov PL., 1964, MAT SBORNIK, V63, P356