ORTHOGONALIZING WEIGHTS OF TCHEBYCHEV SETS OF POLYNOMIALS

被引：22

作者：

KWON, KH

KIM, SS

HAN, SS

机构：

[1] Department of Mathematics, KAIST, Seoul, 130-650, P.O. Box 150, Cheongryang

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 1992年 / 24卷

关键词：

D O I：

10.1112/blms/24.4.361

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize distributions with respect to which the members of a Tchebychev set of polynomials are orthogonal when they satisfy differential equations with polynomial coefficients. As an application, we find a real weight of bounded variation with support in [0, infinity) for Bessel polynomials.

引用

页码：361 / 367

页数：7

共 16 条

[1]

BOAS RP, 1949, B AM MATH SOC, V45, P399

[2]

Chihara TS., 1978, INTRO ORTHOGONAL POL

[3] THE STIELTJES MOMENTS PROBLEM FOR RAPIDLY DECREASING FUNCTIONS [J].

DURAN, AJ .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 107 (03) :731-741

[4]

DURAN AJ, IN PRESS ROCKY MOUNT

[5]

Kim S. S., 1991, DIFFERENTIAL INTEGRA, V4, P601

[6]

KIM SS, 1990, RESULTS MATH, V18, P273

[7]

KOMATSU H, 1971, J FAC SCI U TOKYO 1, V18, P379

[8]

Komatsu H., 1973, LECT NOTES MATH, P3

[9]

KRALL AM, 1978, SIAM J MATH ANAL, V9, P600, DOI 10.1137/0509041

[10] THE BESSEL POLYNOMIAL MOMENT PROBLEM [J].

KRALL, AM .

ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1981, 38 (1-4) :105-107

← 1 2 →