Approximation of almost periodic functions of two variables
type: Item
instance of: scholarly article
title: Approximation of almost periodic functions of two variables
zbMATH Open document ID: 1228.42012
DOI: 10.3103/S1066369X1012008X
author: Yu. Kh. Khasanov
published in: Russian Mathematics
publication date: 2011-11-18T00:00:00Z
review text: The author studies the deviation of functions of two variables \(f(x,y)\), defined on the whole two-dimensional space, from the integral mean values of their Fourier transforms in the metric of the space \(L_p(\mathbb R^2)\), \(1\leq p < \infty\). In the class of uniform almost periodic functions of two variables, the author obtains estimates for the deviation from sums of Marcinkiewicz-Zygmund type.
reviewed by: Stamatis Koumandos
Mathematics Subject Classification ID: 42B10
Mathematics Subject Classification ID: 42B05
Mathematics Subject Classification ID: 42A10
Mathematics Subject Classification ID: 42A75
zbMATH DE Number: 5975429
zbMATH Keywords: Fourier series
zbMATH Keywords: integral mean values
zbMATH Keywords: Fourier transform
zbMATH Keywords: sums of Marcinkiewicz-Zygmund type
zbMATH Keywords: trigonometric polynomial
zbMATH Keywords: almost periodic function
zbMATH Keywords: Fourier exponents
MaRDI profile type: Publication
cites work: Q5563507
cites work: Q5594761
cites work: Q4102268
description: scientific article; zbMATH DE number 5975429