BOUNDS AND INEQUALITIES FOR ARBITRARY ORTHOGONAL POLYNOMIALS ON FINITE INTERVALS

被引：8

作者：

SHI, YG

机构：

[1] Computing Center, Chinese Academy of Sciences, Beijing

来源：

JOURNAL OF APPROXIMATION THEORY | 1995年 / 81卷 / 02期

关键词：

D O I：

10.1006/jath.1995.1046

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, using the approach developed by the author in a previous paper, we deduce some bounds and inequalities for arbitrary orthogonal polynomials on finite intervals and give their various applications. (C) 1995 Academic Press, Inc.

引用

页码：217 / 230

页数：14

共 8 条

[1]

Freud G., 1971, ORTHOGONAL POLYNOMIA

[2]

MATE A, 1990, TRIBUTE P ERDOS, P317

[3] FREUD,GEZA, ORTHOGONAL POLYNOMIALS AND CHRISTOFFEL FUNCTIONS - A CASE-STUDY [J].

NEVAI, P .

JOURNAL OF APPROXIMATION THEORY, 1986, 48 (01) :3-167

[4]

NEVAI PG, 1979, MEM AM MATH SOC, V18, P1

[5] BOUNDS AND INEQUALITIES FOR GENERAL ORTHOGONAL POLYNOMIALS ON FINITE INTERVALS [J].

SHI, YG .

JOURNAL OF APPROXIMATION THEORY, 1993, 73 (03) :303-333

[6]

SHI YG, UNPUB MEAN CONVERGEN

[7]

SHI YG, 1993, APPROX THEORY APPL, V9, P89

[8]

SZEGO G, 1939, AM MATH SOC C PUBL, V23

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