Construction of Approximation Functionals for Minimal Splines

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Construction of Approximation Functionals for Minimal Splines. / Kulikov, E. K.; Makarov, A. A.

In: Journal of Mathematical Sciences (United States), Vol. 262, No. 1, 01.03.2022, p. 84-98.

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

Author

Kulikov, E. K. ; Makarov, A. A. / Construction of Approximation Functionals for Minimal Splines. In: Journal of Mathematical Sciences (United States). 2022 ; Vol. 262, No. 1. pp. 84-98.

BibTeX

@article{a4ab2b6640a847159557cd410c8e175c,

title = "Construction of Approximation Functionals for Minimal Splines",

abstract = "This paper presents formulas for constructing quadratic minimal splines, which explicitly depend on the components of a generating vector function. Formulas for various approximation functionals for minimal splines used as coefficients in local approximation methods are obtained. Examples of special cases of approximation schemes, known as quasi-interpolation, are provided. Results of numerical experiments on approximating a circular arc by minimal splines are considered.",

author = "Kulikov, {E. K.} and Makarov, {A. A.}",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2022",

month = mar,

day = "1",

doi = "10.1007/s10958-022-05801-3",

language = "English",

volume = "262",

pages = "84--98",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "1",

}

RIS

TY - JOUR

T1 - Construction of Approximation Functionals for Minimal Splines

AU - Kulikov, E. K.

AU - Makarov, A. A.

PY - 2022/3/1

Y1 - 2022/3/1

N2 - This paper presents formulas for constructing quadratic minimal splines, which explicitly depend on the components of a generating vector function. Formulas for various approximation functionals for minimal splines used as coefficients in local approximation methods are obtained. Examples of special cases of approximation schemes, known as quasi-interpolation, are provided. Results of numerical experiments on approximating a circular arc by minimal splines are considered.

AB - This paper presents formulas for constructing quadratic minimal splines, which explicitly depend on the components of a generating vector function. Formulas for various approximation functionals for minimal splines used as coefficients in local approximation methods are obtained. Examples of special cases of approximation schemes, known as quasi-interpolation, are provided. Results of numerical experiments on approximating a circular arc by minimal splines are considered.

UR - http://www.scopus.com/inward/record.url?scp=85128816875&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/932c9bc3-08a0-3d0a-a013-6671523b5bb4/

U2 - 10.1007/s10958-022-05801-3

DO - 10.1007/s10958-022-05801-3

M3 - Article

AN - SCOPUS:85128816875

VL - 262

SP - 84

EP - 98

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -

ID: 95547512