CARDINAL INTERPOLATION WITH DIFFERENCES OF TEMPERED FUNCTIONS

abstract

• In this paper, we investigate the existence and uniqueness of cardinal interpolants associated with functions arising from the kth order iterated discrete Laplacian {down triangle, open}k applied to certain radial basis functions. In particular, we concentrate on determining, for a given radial function , which functions {down triangle, open}k give rise to cardinal interpolation operators which are both bounded and invertible 2 (Z3). In addition to solving the cardinal interpolation problem (CIP) associated with such functions {down triangle, open}k, our approach provides a unified framework and simpler proofs for the CIP associated with polyharmonic splines and Hardy multiquadrics. 1992.

authors

• Ward, Joseph

published proceedings

• COMPUTERS & MATHEMATICS WITH APPLICATIONS

author list (cited authors)

• CHUI, C. K., WARD, J. D., & JETTER, K.

citation count

• 11

complete list of authors

• CHUI, CK||WARD, JD||JETTER, K

publication date

• December 1992

publisher

• Elsevier  Publisher

published in

• Computers and Mathematics with Applications  Journal

keywords

• 49 Mathematical Sciences
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1016/0898-1221(92)90170-M

start page

• 35

end page

• 48

volume

• 24

issue

• 12

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2F0898-1221%2892%2990170-m