Estimates of the \(p \)-norms of solutions to difference equations and infinite systems of linear equations
type: Item
instance of: scholarly article
title: Estimates of the \(p \)-norms of solutions to difference equations and infinite systems of linear equations
author: Yu. S. Volkov
published in: Siberian Mathematical Journal
publication date: 2024-11-21T00:00:00Z
Mathematics Subject Classification ID: 41Axx
Mathematics Subject Classification ID: 15Axx
Mathematics Subject Classification ID: 15Bxx
zbMATH DE Number: 7947581
zbMATH Keywords: difference equation
zbMATH Keywords: infinite system of linear equations
zbMATH Keywords: bi-infinite matrix
zbMATH Keywords: Laurent matrix
zbMATH Keywords: diagonal dominance
MaRDI profile type: Publication
cites work: Interpolation by functions with \(n\)th derivative of minimum norm
cites work: Extremal problems of functional interpolation and interpolation-in-the- mean splines
cites work: Estimates for solutions of bi-infinite systems of linear equations
cites work: On a nonnegative solution of a system of equations with a symmetric circulant matrix
cites work: Estimates of the \(p\)-norms of solutions and inverse matrices of systems of linear equations with a circulant matrix
cites work: A history of infinite matrices: a study of denumerably infinite linear systems as the first step in the history of operators defined on function spaces
cites work: Q3253343
cites work: Computations with infinite Toeplitz matrices and polynomials
cites work: Zur Transformation der Scharen bilinearer Formen von unendlich vielen Veränderlichen.
cites work: Integral equations on a half-line with kernel depending upon the difference of the arguments
cites work: Convergence Properties of the Spline Fit
cites work: Q3036570
cites work: Q2998928
cites work: Cardinal interpolation and spline functions
cites work: One problem of extremal functional interpolation and the Favard constants
cites work: Efficient computation of Favard constants and their connection to Euler polynomials and numbers
cites work: A problem of extremal interpolation
cites work: Infinite Matrices and Their Recent Applications
cites work: On the (bi)infinite case of Shadrin's theorem concerning the \(L_{\infty}\)-boundedness of the \(L_{2}\)-spline projector
cites work: Q3911932
cites work: Q5680530
cites work: A Bound on the Inverse of a Band Matrix Which Occurs in Interpolation by Periodic Odd Order Splines
cites work: The Infinity Norm of a Certain Type of Symmetric Circulant Matrix
cites work: On circulant matrices for certain periodic spline and histospline projections
cites work: Estimates of solutions to infinite systems of linear equations and the problem of interpolation by cubic splines on the real line
cites work: Fifty years of Schoenberg's problem on the convergence of spline interpolation
DOI: 10.1134/S0037446624060077
description: scientific article; zbMATH DE number 7947581