POINTWISE CONVERGENCE OF HERMITE-FEJER INTERPOLATION OF HIGHER-ORDER FOR FREUD WEIGHTS

被引：15

作者：

KANJIN, Y ^{[1
]}

SAKAI, R ^{[1
]}

机构：

[1] ANJO HIGASHI SR HIGH SCH,ANJO,AICHI 446,JAPAN

来源：

TOHOKU MATHEMATICAL JOURNAL | 1994年 / 46卷 / 02期

关键词：

D O I：

10.2748/tmj/1178225757

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the approximation by Hermite-Fejer interpolation of higher order based at the zeros of orthogonal polynomials with respect to the typical Freud weight. We will prove a convergence result for even order and a divergence result for odd order.

引用

收藏

页码：181 / 206

页数：26

相关论文

共 18 条

[1] ESTIMATES OF ASYMMETRIC FREUD POLYNOMIALS ON THE REAL LINE [J].

BAULDRY, WC .

JOURNAL OF APPROXIMATION THEORY, 1990, 63 (02) :225-237

[2] ESTIMATES OF THE HERMITE AND THE FREUD POLYNOMIALS [J].

BONAN, SS ;

CLARK, DS .

JOURNAL OF APPROXIMATION THEORY, 1990, 63 (02) :210-224

[3] ON WEIGHTED POLYNOMIAL APPROXIMATION ON WHOLE REAL AXIS [J].

FREUD, G .

ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1969, 20 (1-2) :223-&

[4]

FREUD G, 1963, ACTA MATH ACAD SCI H, V14, P197

[5]

FREUD G, 1969, STUD SCI MATH HUNG, V4, P179

[6]

Kis O., 1972, ACTA MATH ACAD SCI H, V23, P389

[7] POINTWISE CONVERGENCE OF LAGRANGE INTERPOLATION BASED AT THE ZEROS OF ORTHONORMAL POLYNOMIALS WITH RESPECT TO WEIGHTS ON THE WHOLE REAL LINE [J].

KNOPFMACHER, A .

JOURNAL OF APPROXIMATION THEORY, 1987, 51 (03) :231-253

[8] BOUNDS FOR CERTAIN FREUD-TYPE ORTHOGONAL POLYNOMIALS [J].

MHASKAR, HN .

JOURNAL OF APPROXIMATION THEORY, 1990, 63 (02) :238-254

[9]

Natanson, 1965, CONSTRUCTIVE FUNCTIO, V3

[10] FREUD,GEZA, ORTHOGONAL POLYNOMIALS AND CHRISTOFFEL FUNCTIONS - A CASE-STUDY [J].

NEVAI, P .

JOURNAL OF APPROXIMATION THEORY, 1986, 48 (01) :3-167