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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2006, Volume 9, Number 4, Pages 391–402 (Mi sjvm130)  

This article is cited in 5 scientific papers (total in 5 papers)

Approximation by local exponential splines with arbitrary nodes

E. V. Shevaldina

Ural State University
Full-text PDF (234 kB) Citations (5)
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Abstract: For the class of functions $W_{\infty}^{\mathcal L_2}[a,b]=\{f\colon f'\in AC,\quad\|\mathcal L_2(\mathcal D)f\|_{\infty}\leq 1\}\quad(\mathcal L_2(\mathcal D)=\mathcal D^2-\beta^2 I,\beta>0$, $\mathcal D$ is operator of differentiation) a new noninterpolating linear method of local exponential spline-approximation with arbitrary nodes is constructed. This method has some smoothing properties and inherits monotonicity and generalized convexity of the data (values of a function $f\in W_{\infty}^{\mathcal L_2}$ at the grid points). The error of approximation in a uniform metric of a class of functions $W_{\infty}^{\mathcal L_2}$ by these splines is exactly determined.
Key words: local method, exponential spline-approximation, the error of approximation.
Received: 21.07.2005
Revised: 12.11.2005
UDC: 519.65
Language: Russian
Citation: E. V. Shevaldina, “Approximation by local exponential splines with arbitrary nodes”, Sib. Zh. Vychisl. Mat., 9:4 (2006), 391–402
Citation in format AMSBIB
\Bibitem{She06}
\by E.~V.~Shevaldina
\paper Approximation by local exponential splines with arbitrary nodes
\jour Sib. Zh. Vychisl. Mat.
\yr 2006
\vol 9
\issue 4
\pages 391--402
\mathnet{http://mi.mathnet.ru/sjvm130}
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  • https://www.mathnet.ru/eng/sjvm/v9/i4/p391
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Sibirskii Zhurnal Vychislitel'noi Matematiki
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