DOI

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.
Язык оригиналаАнглийский
Страницы (с-по)81-94
ЖурналUral Mathematical Journal
Том3
Номер выпуска1 (4)
DOI
СостояниеОпубликовано - 2017

    Уровень публикации

  • Перечень ВАК

    ГРНТИ

  • 27.00.00 МАТЕМАТИКА

ID: 6567448