ENGLISH

Cardinal spline interpolation

By I. J. Schoenberg

Book information

Publisher
Society for Industrial Mathematics
Year
1987
ISBN
9780898710090, 089871009X
Open Library ID
OL8271680M
Language
english
Format
DJVU
Filesize
954 kB (976936 bytes)
Series
CBMS-NSF Regional Conference Series in Applied Mathematics
Pages
134\0
Library
Kolxoz dop KVKftp
DPI
300
Time added
2009-10-26 15:40:52

Description

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.

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