Convergence of spline interpolation processes and conditionality of systems of equations for spline construction

Результат исследования: Научные публикации в периодических изданияхстатья

2 Цитирования (Scopus)

Аннотация

This study is a continuation of research on the convergence of interpolation processes with classical polynomial splines of odd degree. It is proved that the problem of good conditionality of a system of equations for interpolation spline construction via coefficients of the expansion of the kth derivative in B-splines is equivalent to the problem of convergence of the interpolation process for the Kth spline derivative in the class of functions with continuous Kth derivatives. It is established that for interpolation with splines of degree 2n - 1, the conditions that the projectors corresponding to the derivatives of orders k and 2n - 1 - k be bounded are equivalent. Bibliography: 26 titles.

Язык оригиналаанглийский
Страницы (с-по)550-564
Число страниц15
ЖурналSbornik Mathematics
Том210
Номер выпуска4
DOI
СостояниеОпубликовано - апр 2019

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