Rate of convergence for the absolutely (C, α) summable fourier series of functions of bounded variation

被引:3
作者
Humphreys, N [1 ]
Bojanic, R [1 ]
机构
[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA
关键词
D O I
10.1006/jath.1999.3385
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A theorem of Bosanquet stales that the Fourier sei ies of a 2 pi-periodic function of bounded variation is absolutely (C, alpha) summable. In this paper we give a quantitative version of Bosanquet's result. (C) 1999 Academic Press.
引用
收藏
页码:212 / 220
页数:9
相关论文
共 5 条
[1]  
[Anonymous], 1959, TRIGONOMETRIC SERIES
[2]  
BOJANIC R, 1985, MATH ANAL ITS APPL, P17
[3]  
BOJANIC R, 1979, PUBL I MATH-BEOGRAD, V26, P57
[4]  
BOSANQUET LS, 1936, J LOND MATH SOC, V11, P11
[5]  
MAZHAR SM, 1985, MAT VESNIK, V37, P389