TY - JOUR
T1 - On the stationary Lp -approximation power to derivatives by radial basis function interpolation
AU - Yoon, Jungho
N1 - Funding Information:
This work was supported by Korea Research Foundation Grant (KRF-2003-C00014).
PY - 2004/3/17
Y1 - 2004/3/17
N2 - In this paper, we consider approximation to derivatives of a function by using radial basis function interpolation. Most of well-known theories for this problem provide error analysis in terms of the so-called native space, say Cφ. However, if a basis function φ is smooth, the space Cφ is extremely small. Thus, the purpose of this study is to extend this result to functions in the homogenous Sobolev space.
AB - In this paper, we consider approximation to derivatives of a function by using radial basis function interpolation. Most of well-known theories for this problem provide error analysis in terms of the so-called native space, say Cφ. However, if a basis function φ is smooth, the space Cφ is extremely small. Thus, the purpose of this study is to extend this result to functions in the homogenous Sobolev space.
KW - 'Shifted' surface spline
KW - Approximation power
KW - Homogeneous Sobolev space
KW - Interpolation
KW - Multiquadric
KW - Radial basis function
UR - http://www.scopus.com/inward/record.url?scp=1242298815&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2003.10.009
DO - 10.1016/j.amc.2003.10.009
M3 - Article
AN - SCOPUS:1242298815
SN - 0096-3003
VL - 150
SP - 875
EP - 887
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 3
ER -