Some properties of the sum of the moduli of the terms of a grouped trigonometric series
type: Item
instance of: scholarly article
title: Some properties of the sum of the moduli of the terms of a grouped trigonometric series
zbMATH Open document ID: 1268.42004
published in: Sbornik: Mathematics
publication date: 2012-09-19T00:00:00Z
Mathematics Subject Classification ID: 42A20
Mathematics Subject Classification ID: 42A32
zbMATH DE Number: 6084154
zbMATH Keywords: absolute convergence
zbMATH Keywords: grouped trigonometric series
author: A. S. Belov
MaRDI profile type: Publication
DOI: 10.1070/SM2012V203N06ABEH004243
review text: Interesting results concerning trigonometric series grouped in a certain way and such that the coefficients are monotonic in each group are obtained in this paper. In particular, necessary and sufficient conditions for this sum to lie in the spaces \(L^p\) are obtained.
reviewed by: Martin Grigoryan
description: scientific article; zbMATH DE number 6084154