Cardinal Spline Interpolation (CBMS-NSF Regional Conference Series in Applied Mathematics): 12 (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 12) - Softcover

Schoenberg, I. J.

Softcover

ISBN 10: 089871009X ISBN 13: 9780898710090

Publisher: Society for Industrial and Applied Mathematics, 1987

Synopsis

As this monograph shows, the purpose of cardinal spline interpolation is to bridge the gap between the linear spline and the cardinal series. The author explains cardinal spline functions, the basic properties of B-splines, including B- splines with equidistant knots and cardinal splines represented in terms of B-splines, and exponential Euler splines, leading to the most important case and central problem of the book - cardinal spline interpolation, with main results, proofs, and some applications. Other topics discussed include cardinal Hermite interpolation, semi-cardinal interpolation, finite spline interpolation problems, extremum and limit properties, equidistant spline interpolation applied to approximations of Fourier transforms, and the smoothing of histograms.

About this title

Book Description

Explains cardinal spline functions, the basic properties of B-splines, including B- splines with equidistant knots and cardinal splines represented in terms of B-splines, and exponential Euler splines, leading to the most important case and central problem of the book - cardinal spline interpolation, with main results, proofs, and some applications.

Edition details

• Publisher: Society for Industrial and Applied Mathematics
• Publication date: 1987
• Language: English
• ISBN 10: 089871009X
• ISBN 13: 9780898710090
• Binding: Paperback
• Number of pages: 131