Extremal problems, inequalities, and classical orthogonal polynomials

被引：19
作者：
Agarwal, RP
Milovanovic, GV
机构：
[1] Natl Univ Singapore, Dept Math, Singapore 117548, Singapore
[2] Univ Nish, Fac Elect Engn, Dept Math, YU-18000 Nish, Serbia, Yugoslavia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2002年 / 128卷 / 2-3期
关键词：
classical orthogonal polynomials; characterization; weight function; norm; extremal problems; inequalities; Markov-Bernstein inequality; Landau inequality; Kolmogoroff type polynomial inequalities; differential equation;
D O I：
10.1016/S0096-3003(01)00070-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2002 Elsevier Science Inc. All rights reserved.
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页码：151 / 166
页数：16
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