Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2014, Number 3, Pages 3–7 (Mi vmumm315)  
Mathematics

Expansion over a system of shifts of pyramidal functions with a square base

S. M. Lytkin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: A method for approximation of functions of two variables by a linear combination of nonnegative piecewise linear functions with a compact support is presented. Two quadratic pyramids are used as generating functions for the system of shifts. The accuracy of this local method is proved to have the same order as the best approximation by piecewise linear functions.
Key words: piecewise linear function of two variables, compact support, the best approximation.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-3252.2010.1
Received: 16.01.2012
English version:
Moscow University Mathematics Bulletin, 2014, Volume 69, Issue 3, Pages 89–93
DOI: https://doi.org/10.3103/S0027132214030012
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: S. M. Lytkin, “Expansion over a system of shifts of pyramidal functions with a square base”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 3, 3–7; Moscow University Mathematics Bulletin, 69:3 (2014), 89–93
Citation in format AMSBIB
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\paper Expansion over a system of shifts of pyramidal functions with a square base
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
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\issue 3
\pages 3--7
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\jour Moscow University Mathematics Bulletin
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\issue 3
\pages 89--93
\crossref{https://doi.org/10.3103/S0027132214030012}
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