Approximation of Smooth Functions on the Semiaxis by Entire Functions of Bounded Half-Degree |
| |
Authors: | Tovstolis A. V. |
| |
Affiliation: | (1) Donetsk State University, Ukraine |
| |
Abstract: | In this paper, we study the pointwise approximation of functions defined on the real semiaxis and having an rth derivative bounded almost everywhere. The approximation is performed by means of entire functions of bounded half-degree, which were introduced by S. N. Bernstein. An asymptotically sharp estimate for pointwise approximation of this class of functions is obtained. |
| |
Keywords: | approximation of smooth functions entire function of bounded half-degree Euler ideal spline |
本文献已被 SpringerLink 等数据库收录! |