Error estimation in the approximation of function by interpolation cubic splines

Costica Mustata
(original), approximation of univariate functions, Approximation Theory, cubic splines, interpolation, paper, remainder estimation, splines

Abstract

Authors

Costica Mustata
“Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania

C. Iancu

Keywords

Paper coordinates

C. Mustăţa, C. Iancu, Error estimation in the approximation of function by interpolation cubic splines, Mathematica 29 (52) 1 (1987), 33-39.

PDF

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About this paper

Journal

Mathematica

Publisher Name

Romanian Academy, Romania

DOI
Print ISSN

1222-9016

 

 

Online ISSN

2601-744X

MR # 89f: 41012

google scholar link

[1] C. Iancu, On the cubic spline of interpolation, Seminar of Functional analysis and Numerical Methods, Preprint nr.4 (1981), 52-71
[2] V.I. Miroshnichenko, On the error of approximation by cubic interpolaiton spines (Russian) Metody spline – Funkji, 93 (1982),3-29.
[3] V.I. Miroshnichenko, On the error of approximation by cubic interpolaiton splines II (Russian), Metody spline – funckji v.chisl. analize 98 (1983), 51-66.
[4] E.J. McShane, Extension of range of funcitons, Bull. Amer. Math. Soc., 40 (1934), 837-842.
[5] C. Mustata, Best approximaiton and unique extension of Lipschitz functions, Journal of Approx. Theory 19, 3 (1977), 222-230.
[6] C. Mustata, On the extension problem with prescribed norm, Seminar of Funcitonal analysis and Numerical Methods, Preprint nr.4 (1981), 93-99.

1987

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