Carl de Boor, “On the (bi)infinite case of Shadrin's theorem concerning the $L_\infty$-boundedness of the $L_2$-spline projector”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 3, 2011, 24

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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 3, Pages 24–29 (Mi timm717)

This article is cited in 4 scientific papers (total in 4 papers)

On the (bi)infinite case of Shadrin's theorem concerning the

L_{\infty}

$L_\infty$ -boundedness of the

L_{2}

$L_2$ -spline projector

Carl de Boor

Computer Sciences and Mathematics, University of Wisconsin-Madison

Full-text PDF (119 kB) Citations (4)

References:

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Abstract: Some loose ends in Shadrin's remarkable paper are tied up.

Keywords: Shadrin's theorem,

L_{2}

$L_2$ -spline projector.

Received: 01.08.2011

Bibliographic databases:

Document Type: Article

UDC: 517.518

Language: English

Citation: Carl de Boor, “On the (bi)infinite case of Shadrin's theorem concerning the

L_{\infty}

$L_\infty$ -boundedness of the

L_{2}

$L_2$ -spline projector”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 3, 2011, 24–29

Citation in format AMSBIB

\Bibitem{De 11}

\by Carl~de Boor

\paper On the (bi)infinite case of Shadrin's theorem concerning the $L_\infty$-boundedness of the $L_2$-spline projector

\serial Trudy Inst. Mat. i Mekh. UrO RAN

\yr 2011

\vol 17

\issue 3

\pages 24--29

\mathnet{http://mi.mathnet.ru/timm717}

\elib{https://elibrary.ru/item.asp?id=17870117}

Linking options:

https://www.mathnet.ru/eng/timm717

https://www.mathnet.ru/eng/timm/v17/i3/p24

This publication is cited in the following 4 articles:

Yu. S. Volkov, “Estimates of the $p$ -norms of solutions to difference equations and infinite systems of linear equations”, Siberian Math. J., 65:6 (2024), 1327–1335
Yu. S. Volkov, S. I. Novikov, “Estimates of solutions to infinite systems of linear equations and the problem of interpolation by cubic splines on the real line”, Siberian Math. J., 63:4 (2022), 677–690
Yu. S. Volkov, “Zamechanie o svyazi mezhdu vtoroi razdelennoi raznostyu i vtoroi proizvodnoi”, Tr. IMM UrO RAN, 27, no. 1, 2021, 19–21
Yu. S. Volkov, Yu. N. Subbotin, “50 years to Schoenberg's problem on the convergence of spline interpolation”, Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 222–237

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Trudy Instituta Matematiki i Mekhaniki UrO RAN

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Abstract page:	239
Full-text PDF :	77
References:	59
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