Strong approximation by rectangular partial sums of double orthogonal series
type: Item
instance of: scholarly article
title: Strong approximation by rectangular partial sums of double orthogonal series
zbMATH Open document ID: 0662.42016
DOI: 10.1007/BF01909435
author: Ferenc Móricz
published in: Analysis Mathematica
publication date: 1987-01-01T00:00:00Z
review text: Two theorems connected with strong approximation by rectangular partial sums of double orthogonal series of the form \(\sum^{\infty}_{i=1}\sum^{\infty}_{k=1}a_{ik}\phi_{ik}(x),\) where \(\{a_{ik}:\) \(i,k=1,2,...\}\) is a double sequence of real numbers for which \(\sum^{\infty}_{i=1}\sum^{\infty}_{k=1}a^ 2_{ik}<\infty\), have been established. The proofs are based on some well-expressed lemmas.
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 41A10
zbMATH DE Number: 4082220
zbMATH Keywords: strong approximation
zbMATH Keywords: rectangular partial sums
zbMATH Keywords: double orthogonal series
reviewed by: Ajendra Nath Srivastava
MaRDI profile type: Publication
cites work: Q3278441
cites work: Moment inequalities and the strong laws of large numbers
cites work: Approximation theorems for double orthogonal series
full work available at URL: https://doi.org/10.1007/bf01909435
OpenAlex ID: W79028819
description: scientific article; zbMATH DE number 4082220