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IMI/Publicaţii/CSJM/Ediţii/CSJM v.12, n.3 (36), 2004/

About a family of C2 splines with one free generating function

Authors: Verlan Igor
Keywords: Spline, interpolation, explicit interpolation.

Abstract

The problem of interpolation of discrete set of data on the interval [a, b] representing the function f is investigated. A family of C*C splines with one free generating function is introduced in order to solve this problem. Cubic C*C splines belong to this family. The required conditions which must satisfy the generating function in order to obtain explicit interpolants are presented and examples of generating functions are given. Mathematics Subject Classification: 2000: 65D05, 65D07, 41A05, 41A15.

Department of Applied Mathematics, Moldova State University,
60 Mateevich str.
Chisinau, MD2009, Moldova Institute of Mathematics and Computer Science
5 Academiei str.
Chisinau MD2028, Moldova
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