TY - JOUR
T1 - On the Rate of Almost Everywhere Convergence of Certain Classical Integral Means
AU - Stokolos, Alexander M.
AU - Trebels, Walter
PY - 1999/6
Y1 - 1999/6
N2 - 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, 1mtf (x)-f(x)=ox(ts) a.e. ast→0+.
AB - 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, 1mtf (x)-f(x)=ox(ts) a.e. ast→0+.
UR - http://www.scopus.com/inward/record.url?scp=0009190983&partnerID=8YFLogxK
U2 - 10.1006/jath.1998.3285
DO - 10.1006/jath.1998.3285
M3 - Article
SN - 0021-9045
VL - 98
SP - 203
EP - 222
JO - Journal of Approximation Theory
JF - Journal of Approximation Theory
IS - 2
ER -