ZOLOTAREV POLYNOMIALS AND EXTREMUM PROBLEMS

被引：15

作者：

LEBEDEV, VI

机构：

[1] Institute of Numerical Mathematics, Academy of Sciences of Russia

来源：

RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 1994年 / 9卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1515/rnam.1994.9.3.231

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce and study the Zolotarev polynomials of the first and second types and of the first and second kinds which depend on two parameters and have a definite alternance. A series of extremum problems with various additional conditions are solved using these polynomials. The calculations are presented.

引用

页码：231 / 263

页数：33

共 18 条

[1]

Akhiezer N., 1929, IZV AKAD NAUK SSSR, V10, P919

[2]

Akhiezer N. I., 1965, LECT THEORY APPROXIM

[3]

AKHIEZER NI, 1929, IZV KAZANSKOGO FIZ M, V3, P1

[4]

AKHIEZER NI, 1933, IZV AKAD NAUK SSSR, V9, P499

[5]

KOVALENKO AV, 1988, ADJOINT EQUATIONS PE, P160

[6]

KOVALENKO AV, 1985, METHODS COMPUTATIONA, P89

[7]

KOVALENKO AV, 1987, NUMERICAL METHODS MA, P124

[8]

KUZNETSOV YA, 1983, IZV VUZOV MATEM, V7, P59

[9]

Lebedev V. I., 1976, Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, V16, P895

[10]

Lebedev V. I., 1969, Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, V9, P1247

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