On absolute summability of Fourier series of almost periodic functions

被引:1
作者
Khasanov, Yu. Kh. [1 ]
机构
[1] Russian Tajik Slavon Univ, Dept Informat Sci & Informat Syst, Dushanbe 734025, Tajikistan
关键词
Information System; Fourier Series; Periodic Function; Limit Point; Absolute Summability;
D O I
10.1007/s10476-013-0402-x
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the article we establish some criteria of absolute summability of Fourier series of almost periodic functions in the Besicovitch space. We consider the case where the Fourier exponents have a limit point at infinity.
引用
收藏
页码:259 / 270
页数:12
相关论文
共 11 条
  • [1] ALEKSICH G, 1963, PROBLEMY SKHODIMOSTI
  • [2] BARON SA, 1977, VVEDENIE TEORIYU SUM
  • [3] BESICOVITCH AS, 1932, ALMOST PERIODIC FUNC
  • [4] Grepachevskaya L.V., 1964, Mat. Sb. (N.S.), V65, P370
  • [5] KHARDI GG, 1948, NERAVENSTVA
  • [6] Kolmogorov A.N., 1989, ELEMENTY TEORI FUNKT
  • [7] Leindler L., 1961, Acta Sci. Math, V22, P243
  • [8] STECHKIN SB, 1955, DOKL AKAD NAUK SSSR+, V102, P37
  • [9] Sunouchi G., 1949, J MATH SOC JPN, V1, P57
  • [10] Tandori K., 1960, Acta Sci. Math, V21, P292