Extremal problems, inequalities, and classical orthogonal polynomials.
type: Item
instance of: scholarly article
title: Extremal problems, inequalities, and classical orthogonal polynomials.
zbMATH Open document ID: 1085.33007
DOI: 10.1016/S0096-3003(01)00070-4
author: Ravi P. Agarwal
author: Gradimir V. Milovanović
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
review text: In this survey paper we give a short account on characterizations for very classical orthogonal polynomials via extremal problems and the corresponding inequalities. Besides the basic properties of the classical orthogonal polynomials, we consider polynomial inequalities of Landau and Kolmogoroff type, some weighted polynomial inequalities in \(L^2\)-norm of Markov-Bernstein type, as well as the corresponding connections with the classical orthogonal polynomials.
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 33-02
Mathematics Subject Classification ID: 42C05
zbMATH DE Number: 1861067
zbMATH Keywords: Classical orthogonal polynomials
zbMATH Keywords: Characterization
zbMATH Keywords: Weight function
zbMATH Keywords: Norm
zbMATH Keywords: Extremal problems
zbMATH Keywords: Inequalities
zbMATH Keywords: Markov-Bernstein inequality
zbMATH Keywords: Landau inequality
zbMATH Keywords: Kolmogoroff type polynomial inequalities
zbMATH Keywords: Differential equation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1861067