Variational Theory of Splines by Anatoly Yu. Bezhaev,Vladimir A. Vasilenko

By Anatoly Yu. Bezhaev,Vladimir A. Vasilenko

Th e vari a t i on al s p li ne t heo ry w h ic h orig i na t es from th e w ell-kn personal p ap er b y J. e . Hollid a y ( 1957) i s t od a y a we ll- deve lo pe d fi eld in a p pr o x - mat i o n t he o ry . T he ge ne
ra l d efinition of s p l i nes in t he Hilb er t s velocity , - i st ence , uniquen e s s , and ch ar a c t eriz a tion t he o re ms w ere obt ain ed a b o ut 35 ye a r s in the past b y M . A t t ei a , P . J . Laur en t , a n d P . M.
An selon e , bu t in r e cent y e a r s vital n e w r esult s h a v e b e en ob t ain ed in th e a bst ract va r i a t i o n a l s p l i ne theor y .

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