Asymptotic estimates of approximation of continuous periodic functions by Fourier sums |
| |
Authors: | V T Gavrilyuk |
| |
Institution: | (1) Mathematics Institute, Academy of Sciences of the Ukrainian SSR, Kiev |
| |
Abstract: | Asymptotic estimates, expressed in terms of the value of the modulus of continuity of r-th order (r 2) at the point t= /n of a functionf
C
2 or of the ( , )-derivative of a functionf
C
B
C, are established for the deviations of continuous periodic functions from their Fourier sums.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 6, pp. 747–755, June, 1990. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|