APPROXIMATION BY LOCAL PARABOLIC SPLINE SCONSTRUCTED ON THE BASIS OF INTERPOLATIONIN THE MEAN

Resultado de pesquisa: Articlerevisão de pares

Resumo

The paper deals with approximative and form-retaining properties of the local parabolic splines of the form S(x)=∑jyjB2(x-jh), (h>0), where B2 is a normalized parabolic spline with the uniform nodes and functionals yj=yj(f) are given for an arbitrary function f defined on R by means of the equalities yj=1/h1∫-h1/2h1/2f(jh+t)dt (j∈Z). On the class W2∞ of functions under 0 < h1≤ 2h, the approximation error value is calculated exactly for thecase of approximation by such splines in the uniform metrics.
Idioma originalEnglish
Páginas (de-até)81-94
RevistaUral Mathematical Journal
Volume3
Número de emissão1 (4)
DOIs
Estado da publicaçãoPublished - 2017

GRNTI

  • 27.00.00 MATHEMATICS

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  • VAK List

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