Approximation by double Walsh polynomials

Approximation by double Walsh polynomials

We study the rate of approximation by rectangular partial sums, Cesàro means, and de la Vallée Poussin means of double Walsh-Fourier series of a function in a homogeneous Banach space X. In particular, X may be Lp(I2), where 1≦p<∞ and I2=[0,1)×[0,1), or CW(I2), the latter being the collection of...

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Bibliographic Details
Main Author: Ferenc Móricz
Format: Article
Language:English
Published: Hindawi Limited 1992-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Walsh-Paley system
homogeneous Banach space
best approximation
W-continuity
modulus of continuity
Lipschitz class
rectangular partial sum
Ces&#224;ro mean
de la Vall&#233;e Poussin mean
Dirichlet kernel
Fej&#233;r kernel
convergence in Lp-norm
uniform convergence
saturation problem.
Online Access:http://dx.doi.org/10.1155/S0161171292000279

Internet

http://dx.doi.org/10.1155/S0161171292000279

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