Approximation by means of Fourier trigonometric series in Morrey spaces
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Alexandru Ioan Cuza University of Iasi
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info:eu-repo/semantics/openAccess
Özet
In the present work we investigate the approximation of the functions by Cesaro, Zygmund and Abel-Poisson means of Fourier series in Morrey spaces Lp, ? (T), 0 < ? ? 2, 1 < p < ? in the terms of the modulus of continuity. These results applied to the estimates of approximation of Cesaro, Zygmund and Abel sums of Faber series in the Morrey-Smirnov classes Ep, ?(G), 0 < ? ? 2 and 1 < p < ? defined in the domains with Dini-smooth boundary of the complex plane. © 2023 Sciendo. All rights reserved.
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Anahtar Kelimeler
Abel-Poisson mean, Cesaro mean, modulus of continuity, Morrey spaces, Morrey-Smirnov classes, trigonometric polynomials, Zygmund mean
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Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica
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69
Sayı
1
