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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 9, Pages 54–65 (Mi ivm8738)  
This article is cited in 5 scientific papers (total in 5 papers)

Periodic dyadic wavelets and coding of fractal functions

Yu. A. Farkov, M. E. Borisov

Chair of Higher Mathematics, Russian State Geological Prospecting University, Moscow, Russia
Full-text PDF (225 kB) Citations (5)
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Abstract: Recently, using the Walsh–Dirichlet type kernel, the first author has defined periodic dyadic wavelets on the positive semiaxis which are similar to the Chui–Mhaskar trigonometric wavelets. In this paper we generalize this construction and give examples of applications of periodic dyadic wavelets for coding the Riemann, Weierstrass, Schwarz, van der Waerden, Hankel, and Takagi fractal functions.
Keywords: periodic dyadic wavelets, Walsh functions, Walsh–Dirichlet kernel, discrete Walsh transform, signal processing, fractal functions.
Received: 28.07.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 9, Pages 46–56
DOI: https://doi.org/10.3103/S1066369X1209006X
Bibliographic databases:
Document Type: Article
UDC: 519.677
Language: Russian
Citation: Yu. A. Farkov, M. E. Borisov, “Periodic dyadic wavelets and coding of fractal functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 9, 54–65; Russian Math. (Iz. VUZ), 56:9 (2012), 46–56
Citation in format AMSBIB
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\by Yu.~A.~Farkov, M.~E.~Borisov
\paper Periodic dyadic wavelets and coding of fractal functions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 9
\pages 54--65
\mathnet{http://mi.mathnet.ru/ivm8738}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3137048}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 9
\pages 46--56
\crossref{https://doi.org/10.3103/S1066369X1209006X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866285275}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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