Abstract
The main purpose of this article is to establish nearly optimal results concerning the rate of almost everywhere convergence of the Gauss-Weierstrass, Abel-Poisson, and Bochner-Riesz means of the one-dimensional Fourier integral. A typical result for these means is the following: If the function f belongs to the Besov spaceBsp,p, 1<p<∞, 0<s<1, thenTmtf (x)-f(x)=ox(ts) a.e. ast→0+.
Original language | English |
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Pages (from-to) | 203-222 |
Number of pages | 20 |
Journal | Journal of Approximation Theory |
Volume | 98 |
Issue number | 2 |
DOIs | |
State | Published - Jun 1999 |
Scopus Subject Areas
- Analysis
- Numerical Analysis
- General Mathematics
- Applied Mathematics