Cesàro means of trigonometric fourier series

U. Goginava

doi:10.1515/GMJ.2002.53

Cesàro means of trigonometric fourier series

U. Goginava

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

L. Zhizhiashvili proved that if f ∈ H^ω_pp for some p, 1 ≤ p ≤ ∞, and ∝ ∈ (0; 1); then the L^p-deviation of f from its Cesàro mean is O(formula omited) where ω(‧) is a modulus of continuity. In this paper we show that this estimation is non-amplifiable for p = 1:.

Original language	English
Pages (from-to)	53-56
Number of pages	4
Journal	Georgian Mathematical Journal
Volume	9
Issue number	1
DOIs	https://doi.org/10.1515/GMJ.2002.53
Publication status	Published - 2002
Externally published	Yes

Keywords

Cesàro means
Trigonometric Fourier series

ASJC Scopus subject areas

General Mathematics

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10.1515/GMJ.2002.53

Cite this

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abstract = "L. Zhizhiashvili proved that if f ∈ Hωpp for some p, 1 ≤ p ≤ ∞, and ∝ ∈ (0; 1); then the Lp-deviation of f from its Ces{\`a}ro mean is O(formula omited) where ω(‧) is a modulus of continuity. In this paper we show that this estimation is non-amplifiable for p = 1:.",

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AB - L. Zhizhiashvili proved that if f ∈ Hωpp for some p, 1 ≤ p ≤ ∞, and ∝ ∈ (0; 1); then the Lp-deviation of f from its Cesàro mean is O(formula omited) where ω(‧) is a modulus of continuity. In this paper we show that this estimation is non-amplifiable for p = 1:.

KW - Cesàro means

KW - Trigonometric Fourier series

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Cesàro means of trigonometric fourier series

Abstract

Keywords

ASJC Scopus subject areas

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