On Approximation by Hyperbolic Splines

Research output

Abstract

The paper considers the minimal hyperbolic splines and their properties. Formulas for constructing quadratic splines and the corresponding biorthogonal (dual) functionals are obtained. Numerical results, demonstrating how approximation quality can be improved by using hyperbolic splines and changing control parameters, are presented.

Original languageEnglish
Pages (from-to)822-832
JournalJournal of Mathematical Sciences (United States)
Volume240
Issue number6
DOIs
Publication statusPublished - 14 Aug 2019

Fingerprint

Splines
Spline
Quadratic Spline
Approximation
Control Parameter
Numerical Results

Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

Cite this

@article{b5138f6fba57409c99ceef35301eaee1,
title = "On Approximation by Hyperbolic Splines",
abstract = "The paper considers the minimal hyperbolic splines and their properties. Formulas for constructing quadratic splines and the corresponding biorthogonal (dual) functionals are obtained. Numerical results, demonstrating how approximation quality can be improved by using hyperbolic splines and changing control parameters, are presented.",
author = "Kulikov, {E. K.} and Makarov, {A. A.}",
year = "2019",
month = "8",
day = "14",
doi = "10.1007/s10958-019-04399-3",
language = "English",
volume = "240",
pages = "822--832",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer",
number = "6",

}

TY - JOUR

T1 - On Approximation by Hyperbolic Splines

AU - Kulikov, E. K.

AU - Makarov, A. A.

PY - 2019/8/14

Y1 - 2019/8/14

N2 - The paper considers the minimal hyperbolic splines and their properties. Formulas for constructing quadratic splines and the corresponding biorthogonal (dual) functionals are obtained. Numerical results, demonstrating how approximation quality can be improved by using hyperbolic splines and changing control parameters, are presented.

AB - The paper considers the minimal hyperbolic splines and their properties. Formulas for constructing quadratic splines and the corresponding biorthogonal (dual) functionals are obtained. Numerical results, demonstrating how approximation quality can be improved by using hyperbolic splines and changing control parameters, are presented.

UR - http://www.scopus.com/inward/record.url?scp=85068342637&partnerID=8YFLogxK

U2 - 10.1007/s10958-019-04399-3

DO - 10.1007/s10958-019-04399-3

M3 - Article

AN - SCOPUS:85068342637

VL - 240

SP - 822

EP - 832

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -