Bivariate fractal interpolation functions on rectangular domains

被引：0

作者：

Qian, XY ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2002年 / 20卷 / 04期

关键词：

fractal; bivariate functions; interpolation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Non-tensor product bivariate fractal interpolation functions defined on gridded rectangular domains are constructed. Linear spaces consisting of these functions are introduced. The relevant Lagrange interpolation problem is discussed. A negative result about the existence of affine fractal interpolation functions defined on such domains is obtained.

引用

页码：349 / 362

页数：14

共 50 条

[31] Hidden variable bivariate fractal interpolation functions and errors on perturbations of function vertical scaling factors
Yun, Chol-Hui
Ri, Mi-Kyong
[J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2019, 12 (02)
[32] Hermitian spline interpolation for bivariate functions
Scheffold, E
[J]. ACTA MATHEMATICA HUNGARICA, 2001, 92 (04) : 347 - 358
[33] LOCAL FRACTAL INTERPOLATION ON UNBOUNDED DOMAINS
Massopust, Peter R.
[J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2018, 61 (01) : 151 - 167
[34] On Bivariate Haar Functions and Interpolation Polynomial
Dehghan, R.
Fard, K. Rahsepar
[J]. JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2014, 10 (02): : 100 - 112
[35] A note on stability and fractal dimension of bivariate α-fractal functions
Agrawal, V.
Som, T.
Verma, S.
[J]. NUMERICAL ALGORITHMS, 2023, 93 (04) : 1811 - 1833
[36] A note on stability and fractal dimension of bivariate α-fractal functions
V. Agrawal
T. Som
S. Verma
[J]. Numerical Algorithms, 2023, 93 : 1811 - 1833
[37] THE CALCULUS OF FRACTAL INTERPOLATION FUNCTIONS
BARNSLEY, MF
HARRINGTON, AN
[J]. JOURNAL OF APPROXIMATION THEORY, 1989, 57 (01) : 14 - 34
[38] On　a　Class　of　Fractal　Interpolation　Functions
Qian Xiaoyuan (Inst. of Math. Scis.
[J]. Journal of Mathematical Research with Applications, 1997, (02) : 46 - 47
[39] CONSTRUCTION OF FRACTAL INTERPOLATION SURFACES ON RECTANGULAR GRIDS
Metzler, Wolfgang
Yun, Chol Hui
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2010, 20 (12): : 4079 - 4086
[40] AN ERROR ANALYSIS FOR BIVARIATE INTERPOLATION OF ANALYTIC FUNCTIONS
BARNHILL, RE
WIXOM, JA
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1969, 6 (03) : 450 - +

← 1 2 3 4 5 →