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Approximation by Nörlund means of Walsh–Kaczmarz–Fourier series
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Károly Nagy
Veröffentlicht/Copyright:
6. April 2011
Abstract
In this paper we study the rate of the approximation by Nörlund means of Walsh–Kaczmarz–Fourier series of a function in Lp (1 ≤ p ≤ ∞). As a special case, we obtain the result due to Skvortsov [Anal. Math. 7: 141–150, 1981]. Earlier results on the Walsh–Nörlund means were given by Móricz and Siddiqi [J. Approx. Theory 70: 375–389, 1992].
Keywords.: Walsh group; Walsh–Kaczmarz system; Walsh–Kaczmarz–Fourier series; Nörlund means; approximation
Received: 2008-12-10
Published Online: 2011-04-06
Published in Print: 2011-March
© de Gruyter 2011
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Schlagwörter für diesen Artikel
Walsh group;
Walsh–Kaczmarz system;
Walsh–Kaczmarz–Fourier series;
Nörlund means;
approximation
Artikel in diesem Heft
- Attractivity results for a nonlinear functional integral equation
- A biregular extension theorem from a fractal surface in
- Exceptional functions and normal families of holomorphic functions with multiple zeros
- A note on the existence of three positive periodic solutions of functional difference equation
- Necessary and sufficient optimality conditions for set-valued optimization problems
- A weak type inequality for the two-dimensional diagonal Sunouchi operator on the Hardy space
- Screen slant lightlike submanifolds of indefinite cosymplectic manifolds
- Electromagnetic scattering by cylindrical orthotropic waveguide irises
- On fusion frames in Banach spaces
- A note on Muckenhoupt type weight classes on nondoubling measure spaces
- (σ, τ)-amenability of C*-algebras
- Approximation by Nörlund means of Walsh–Kaczmarz–Fourier series
- A priori estimates of solutions of boundary value problems for two-dimensional systems of singular differential inequalities
- Function classes and convergence almost everywhere
- On the equivalence of a strong symmetrical and a strong complete differentiation basis
