A note on (0,2) interpolation
type: Item
instance of: scholarly article
title: A note on (0,2) interpolation
zbMATH Open document ID: 0625.41001
author: Jianyong Qiao
author: Sumit K. Garg
published in: Acta Mathematica Hungarica
publication date: 1986-01-01T00:00:00Z
review text: \textit{P. Turán} [J. Approximation Theory 29, 23-89 (1980; Zbl 0454.41001)] proposed the problem of finding all Jacobi matrices P(\(\alpha\),\(\beta)\) \((\alpha,\beta >-1,\alpha \neq \beta)\) for which (0,2) interpolation has a unique solution. This problem was solved recently by \textit{A. M. Chak, A. Sharma} and \textit{J. Szabados} [Stud. Sci. Math. Hung. 15, 441-455 (1980; Zbl 0532.41002)]. Here the author solves the problem of finding all Lascenov polynomials on whose zeros, (0,2) interpolation is uniquely solvable. It may be recalled that Lascenov polynomials are orthogonal on [-1,1] with weight function \(| x|^{2\alpha +1}(1- x^ 2)^{\beta}\) \((\alpha,\beta >-1)\).
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 4015339
zbMATH Keywords: Lacunary interpolation
zbMATH Keywords: Jacobi matrix
zbMATH Keywords: Lascenov polynomials
zbMATH Keywords: weight function
reviewed by: A. Sharma
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4015339