Affiliation:
1. Institute of Mathematics and Computer Sciences , University of Nyíregyháza , P.O. Box 166 , 4400 Nyíregyháza , Hungary
Abstract
Abstract
In this paper, we discuss the rate of the approximation by matrix transform means of Fourier series with respect to the character system of the group of 2-adic integers
in
L
p
(
I
)
{L^{p}(I)}
spaces (
1
≤
p
<
∞
{1\leq p<\infty}
) and in
C
(
I
)
{C(I)}
. Moreover, we give an application for functions in Lipschitz classes
Lip
(
α
,
p
,
I
)
{\mathrm{Lip}(\alpha,p,I)}
(
α
>
0
{\alpha>0}
,
1
≤
p
<
∞
{1\leq p<\infty}
) and
Lip
(
α
,
C
(
I
)
)
{\mathrm{Lip}(\alpha,C(I))}
(
α
>
0
{\alpha>0}
).
Cited by
1 articles.
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