Best approximation and best unilateral approximation of the kernel of a biharmonic equation and optimal renewal of the values of operators |
| |
Authors: | M Sh Shabozov |
| |
Institution: | (1) Institute of Mathematics, Ukrainian Academy of Sciences, Kiev |
| |
Abstract: | For the classB
p
, 0 < 1, 1p , of 2-periodic functions of the form f(t)=u(,t), whereu (,t) is a biharmonic function in the unit disk, we obtain the exact values of the best approximation and best unilateral approximation of the kernel K(t) of the convolution f= K *g, gl, with respect to the metric of L1. We also consider the problem of renewal of the values of the convolution operator by using the information about the values of the boundary functions.Translated from Ukrainskii Matematicheskii Zhurnal, Vol.47, No. 11, pp. 1549–1557, November, 1995. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|