ORTHOGONAL POLYNOMIALS AND APPROXIMATION IN SOBOLEV SPACES

被引：15

作者：

EVERITT, WN

LITTLEJOHN, LL

WILLIAMS, SC

机构：

[1] UTAH STATE UNIV,DEPT MATH,LOGAN,UT 84322

[2] UTAH STATE UNIV,DEPT MATH,LOGAN,UT 84322

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1993年 / 48卷 / 1-2期

关键词：

ORTHOGONAL POLYNOMIALS; DIFFERENTIAL EQUATIONS; RIGHT-DEFINITE BOUNDARY VALUE PROBLEMS; LEFT-DEFINITE BOUNDARY VALUE PROBLEMS; SOBOLEV SPACES; POLYNOMIAL APPROXIMATION;

D O I：

10.1016/0377-0427(93)90316-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper discusses the density of polynomials in Sobolev-type function spaces defined on the compact interval [-1, 1] of the real line R. The problems considered are motivated by consideration of the spectral representation of certain Jacobi-type orthogonal polynomials.

引用

页码：69 / 90

页数：22

共 21 条

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[3]

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[4]

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[5]

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EVERITT, WN ;

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[7] DIFFERENTIAL-OPERATORS AND THE LAGUERRE TYPE POLYNOMIALS [J].

EVERITT, WN ;

KRALL, AM ;

LITTLEJOHN, LL ;

ONYANGOOTIENO, VP .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1992, 23 (03) :722-736

[8]

EVERITT WN, 1989, LECT NOTES PURE APPL, V117, P53

[9]

EVERITT WN, 1990, REND MAT 7, V10, P835

[10]

EVERITT WN, UNPUB OPERATOR DOMAI

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