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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 434, Pages 19–31 (Mi znsl6138)  
Sharp estimates of the deviation from Fourier–Haar sums for continuous functions of two variables

P. A. Andrianov

St. Petersburg State University, St. Petersburg, Russia
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Abstract: A sharp estimate of the deviation from partial Fourier–Haar sums for periodic continuous function in terms of the modulus of continuity is obtained.
Key words and phrases: periodic wavelets, separable multiresolution analysis, Haar basis, modulus of continuity.
Received: 14.05.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 215, Issue 5, Pages 552–559
DOI: https://doi.org/10.1007/s10958-016-2860-8
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: P. A. Andrianov, “Sharp estimates of the deviation from Fourier–Haar sums for continuous functions of two variables”, Investigations on linear operators and function theory. Part 43, Zap. Nauchn. Sem. POMI, 434, POMI, St. Petersburg, 2015, 19–31; J. Math. Sci. (N. Y.), 215:5 (2016), 552–559
Citation in format AMSBIB
\Bibitem{And15}
\by P.~A.~Andrianov
\paper Sharp estimates of the deviation from Fourier--Haar sums for continuous functions of two variables
\inbook Investigations on linear operators and function theory. Part~43
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 434
\pages 19--31
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6138}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3493696}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 215
\issue 5
\pages 552--559
\crossref{https://doi.org/10.1007/s10958-016-2860-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84965043951}
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