Hilbertian Kernels and Spline Functions
( Volume 4 )
Publication series ：Volume 4
Publisher： Elsevier Science
Publication year： 2014
E-ISBN: 9781483295190
P-ISBN(Paperback): 9780444897183
P-ISBN(Hardback): 9780444897183
Subject： O174.41 Approximation Theory
Keyword： 数学
Language： ENG
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Description
In this monograph, which is an extensive study of Hilbertian approximation, the emphasis is placed on spline functions theory. The origin of the book was an effort to show that spline theory parallels Hilbertian Kernel theory, not only for splines derived from minimization of a quadratic functional but more generally for splines considered as piecewise functions type.
Being as far as possible self-contained, the book may be used as a reference, with information about developments in linear approximation, convex optimization, mechanics and partial differential equations.