SCHOENBERG EXPONENTIAL EULER SPLINE CURVES Academic Article

abstract

• SynopsisThe exponential Euler spline curves of Schoenberg are used to derive the correctness of cardinal interpolation by shifted univariate B-splines and the metric condition on the bi-infinite Toeplitz matrix of interpolation. Additional monotonicity properties of the associated symbol for interpolation in each of its parameters are also given.

authors

• Sivakumar, Natarajan

published proceedings

• PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

author list (cited authors)

• JETTER, K., RIEMENSCHNEIDER, S. D., & SIVAKUMAR, N.

citation count

• 10

complete list of authors

• JETTER, K||RIEMENSCHNEIDER, SD||SIVAKUMAR, N

publication date

• January 1991

publisher

• Cambridge University Press (CUP)  Publisher

published in

• Proceedings of the Royal Society of Edinburgh Section A Mathematics  Journal

keywords

• 49 Mathematical Sciences
• 4901 Applied Mathematics
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1017/S0308210500028869

start page

• 21

end page

• 33

volume

• 118

issue

• 1-2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1017%2Fs0308210500028869