Generalized interpolation on spheres using positive definite and related functions

被引：1

作者：

Menegatto, VA

Peron, AP

机构：

[1] UNIV SAO PAULO,ICMSC,BR-13560970 SAO CARLOS,SP,BRAZIL

[2] UNIV ESTADUAL MARINGA,CCE,BR-87020900 MARINGA,PARANA,BRAZIL

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1997年 / 18卷 / 1-2期

关键词：

D O I：

10.1080/01630569708816753

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe how positive definite and conditionally negative definite functions on spheres call be used to carry out generalized interpolation on spheres.

引用

页码：189 / 200

页数：12

共 50 条

[1] On the conditioning of interpolation by strictly conditionally positive definite functions on spheres
Luo, Z
Levesley, J
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1998, 19 (7-8) : 849 - 871
[2] POSITIVE DEFINITE FUNCTIONS ON SPHERES
BINGHAM, NH
[J]. PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1973, 73 (JAN): : 145 - 156
[3] STRICTLY POSITIVE DEFINITE FUNCTIONS ON SPHERES
XU, Y
CHENEY, EW
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 116 (04) : 977 - 981
[4] Multivariate positive definite functions on spheres
Musin, Oleg R.
[J]. DISCRETE GEOMETRY AND ALGEBRAIC COMBINATORICS, 2014, 625 : 177 - 190
[5] On interpolation with products of positive definite functions
Strauss, H
[J]. NUMERICAL ALGORITHMS, 1997, 15 (02) : 153 - 165
[6] Isotropic positive definite functions on spheres
Feng, Han
Ge, Yan
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2022, 282 (01)
[7] On interpolation with products of positive definite functions
Hans Strauss
[J]. Numerical Algorithms, 1997, 15 : 153 - 165
[8] DERIVATIVES OF ISOTROPIC POSITIVE DEFINITE FUNCTIONS ON SPHERES
Trubner, Mara
Ziegel, Johanna F.
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (07) : 3017 - 3031
[9] ON GENERALIZED POSITIVE-DEFINITE FUNCTIONS
LOYNES, RM
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1965, 15 : 373 - &
[10] Positive definite matrix functions on spheres defined by hypergeometric functions
Guella, J. C.
Menegatto, V. A.
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2019, 30 (10) : 774 - 789

← 1 2 3 4 5 →