BEST WEIGHTED POLYNOMIAL-APPROXIMATION VIA JACOBI-EXPANSIONS

被引：13

作者：

LUBINSKY, DS

TOTIK, V

机构：

[1] BOLYAI INST, H-6720 SZEGED, HUNGARY

[2] UNIV S FLORIDA, DEPT MATH, TAMPA, FL 33620 USA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1994年 / 25卷 / 02期

关键词：

WEIGHTED POLYNOMIAL APPROXIMATION; ORTHOGONAL EXPANSION; JACOBI POLYNOMIALS;

D O I：

10.1137/S0036141092232907

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Freud's method is modified to prove the Jackson-Favard estimate for weighted algebraic polynomials with Jacobi weights. This approach uses only classical results from the theory of orthogonal polynomials.

引用

页码：555 / 570

页数：16

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