FREUD CONJECTURE AND APPROXIMATION OF RECIPROCALS OF WEIGHTS BY POLYNOMIALS

被引：8

作者：

KNOPFMACHER, A

LUBINSKY, DS

NEVAI, P

机构：

[1] UNIV WITWATERSRAND, DEPT MATH, JOHANNESBURG 2001, SOUTH AFRICA

[2] CSIR, NATL RES INST MATH SCI, PRETORIA 0001, SOUTH AFRICA

[3] OHIO STATE UNIV, DEPT MATH, COLUMBUS, OH 43210 USA

来源：

CONSTRUCTIVE APPROXIMATION | 1988年 / 4卷 / 01期

关键词：

D O I：

10.1007/BF02075446

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：9 / 20

页数：12

共 17 条

[1]

Freud G, 1971, ORTHOGONAL POLYNOMIA

[2]

LAGOMASINO GL, 1985, MAT SBORNIK, V128, P216

[3] A PROOF OF FREUD CONJECTURE FOR EXPONENTIAL WEIGHTS [J].

LUBINSKY, DS ;

MHASKAR, HN ;

SAFF, EB .

CONSTRUCTIVE APPROXIMATION, 1988, 4 (01) :65-83

[4] FREUD CONJECTURE FOR EXPONENTIAL WEIGHTS [J].

LUBINSKY, DS ;

MHASKAR, HN ;

SAFF, EB .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 15 (02) :217-222

[5] UNIFORM AND MEAN APPROXIMATION BY CERTAIN WEIGHTED POLYNOMIALS, WITH APPLICATIONS [J].

LUBINSKY, DS ;

SAFF, EB .

CONSTRUCTIVE APPROXIMATION, 1988, 4 (01) :21-64

[6]

LUBINSKY DS, 1984, CSIR1575 INT REP

[7]

MAGNUS A, 1986, LECTURE NOTES MATH, V1171

[8]

MAGNUS AP, 1986, J APPROX THEORY, V46, P65, DOI 10.1016/0021-9045(86)90088-2

[9] ASYMPTOTICS FOR THE RATIO OF LEADING COEFFICIENTS OF ORTHONORMAL POLYNOMIALS ON THE UNIT-CIRCLE [J].

MATE, A ;

NEVAI, P ;

TOTIK, V .

CONSTRUCTIVE APPROXIMATION, 1985, 1 (01) :63-69

[10] EXTREMAL PROBLEMS FOR POLYNOMIALS WITH EXPONENTIAL WEIGHTS [J].

MHASKAR, HN ;

SAFF, EB .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 285 (01) :203-234

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