CONVERGENCE OF LAGRANGE-HERMITE INTERPOLATION

被引：0

作者：

Bahadur, Swarnima ^{[1
]}

Shukla, Manisha ^{[1
]}

机构：

[1] Univ Lucknow, Dept Math & Astron, Lucknow 226007, Uttar Pradesh, India

来源：

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2014年 / 33期

关键词：

Jacobi polynomial; Lagrange interpolation; Hermite interpolation; explicit representation; convergence;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider explicit representations and convergence of Lagrange Hermite Interpolation on two disjoint set of nodes, which are obtained by projecting vertically the zeros of (1 - x(2)) P-n((alpha,beta)) (x) and (1 - x(2)) P-n((alpha,beta)') (x) respectively on the unit circle, where P-n((alpha,beta))(x) stands for Jacobi polynomials.

引用

页码：255 / 262

页数：8

共 14 条

[1]

AKHALAGHI MR, 1990, APPROX OPTIM COMPUT, P37

[2]

Bahadur S., 2011, INT J MATH ANAL, V5, P1429

[3]

BAHADUR S., J ADV MATH IN PRESS

[4]

BAHADUR S., 2011, ADV THEOR APPL MATH, V6, P35

[5]

BAHADUR S., 2014, AD INQEUAL APPL, V13

[6] Pal-type interpolation on nonuniformly distributed nodes on the unit circle [J].

Dikshit, HP .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 155 (02) :253-261

[7]

Kis O., 1960, ACTA MATH ACAD SCI H, V11, P49

[8]

MATHUR P., 2006, ANAL THEORY APPL, V22, P105

[9]

Pal L. G., 1996, ANN U BUDAPEST SECTS, V16, P291

[10]

PAL L.G., 1975, ANAL MATH, P197

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