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APPROXIMATION BY LOCAL PARABOLIC SPLINE SCONSTRUCTED ON THE BASIS OF INTERPOLATIONIN THE MEAN. / Strelkova, Elena V.
In: Ural Mathematical Journal, Vol. 3, No. 1 (4), 2017, p. 81-94.

Research output: Contribution to journal › Article › peer-review

Harvard

Strelkova, EV 2017, 'APPROXIMATION BY LOCAL PARABOLIC SPLINE SCONSTRUCTED ON THE BASIS OF INTERPOLATIONIN THE MEAN', Ural Mathematical Journal, vol. 3, no. 1 (4), pp. 81-94. https://doi.org/10.15826/umj.2017.1.007

APA

Strelkova, E. V. (2017). APPROXIMATION BY LOCAL PARABOLIC SPLINE SCONSTRUCTED ON THE BASIS OF INTERPOLATIONIN THE MEAN. Ural Mathematical Journal, 3(1 (4)), 81-94. https://doi.org/10.15826/umj.2017.1.007

Vancouver

Strelkova EV. APPROXIMATION BY LOCAL PARABOLIC SPLINE SCONSTRUCTED ON THE BASIS OF INTERPOLATIONIN THE MEAN. Ural Mathematical Journal. 2017;3(1 (4)):81-94. doi: 10.15826/umj.2017.1.007

Author

Strelkova, Elena V. / APPROXIMATION BY LOCAL PARABOLIC SPLINE SCONSTRUCTED ON THE BASIS OF INTERPOLATIONIN THE MEAN. In: Ural Mathematical Journal. 2017 ; Vol. 3, No. 1 (4). pp. 81-94.

BibTeX

@article{28861b29e48f4f62acefba549f952041,
title = "APPROXIMATION BY LOCAL PARABOLIC SPLINE SCONSTRUCTED ON THE BASIS OF INTERPOLATIONIN THE MEAN",
abstract = "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.",
author = "Strelkova, {Elena V.}",
year = "2017",
doi = "10.15826/umj.2017.1.007",
language = "English",
volume = "3",
pages = "81--94",
journal = "Ural Mathematical Journal",
issn = "2414-3952",
publisher = "Институт математики и механики им. Н.Н. Красовского УрО РАН",
number = "1 (4)",

}

RIS

TY - JOUR

T1 - APPROXIMATION BY LOCAL PARABOLIC SPLINE SCONSTRUCTED ON THE BASIS OF INTERPOLATIONIN THE MEAN

AU - Strelkova, Elena V.

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

UR - https://elibrary.ru/item.asp?id=29728777

U2 - 10.15826/umj.2017.1.007

DO - 10.15826/umj.2017.1.007

M3 - Article

VL - 3

SP - 81

EP - 94

JO - Ural Mathematical Journal

JF - Ural Mathematical Journal

SN - 2414-3952

IS - 1 (4)

ER -

ID: 6567448