Second Jackson Inequality in a Sign-Preserving Approximation of Periodic Functions |
| |
| Authors: | Pleshakov M G Popov P A |
| |
| Institution: | (1) Saratov University, Saratov, Russia;(2) Kiev National University of Technology and Design, Kiev |
| |
| Abstract: | We consider a 2 -periodic function f continuous on
and changing its sign at 2s points y
i  –, ). For this function, we prove the existence of a trigonometric polynomial T
n of degree  n that changes its sign at the same points y
i and is such that the deviation | f(x) – T
n(x)| satisfies the second Jackson inequality. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
