Morrey空间中傅里叶三角级数的逼近

Q4 Mathematics

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2023-01-01 DOI:10.47743/anstim.2023.00005

Sadulla Z. Jafarov

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Approximation by means of Fourier trigonometric series in Morrey spaces

In the present work we investigate the approximation of the functions by Ce-saro, Zygmund and Abel-Poisson means of Fourier series in Morrey spaces L p,λ ( T ) , 0 < λ ≤ 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 E p,λ ( G ) , 0 < λ ≤ 2 and 1 < p < ∞ defined in the domains with Dini-smooth boundary of the complex plane.

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来源期刊

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica MATHEMATICS-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research and research-expository papers in all fields of mathematics.