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Matematicheskie Zametki, 2007, Volume 82, Issue 5, Pages 643–651
DOI: https://doi.org/10.4213/mzm3840 (Mi mzm3840) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On a New Class of Function Systems of Faber–Schauder Type

T. U. Aubakirov, N. A. Bokaev

E. A. Buketov Karaganda State University
Full-text PDF (425 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm3840
Abstract: In this paper, we introduce a new class of function systems generalizing the classical Faber–Schauder system. Under the condition that the generating sequence is bounded, we show that systems of such a class constitute bases in the space of continuous functions and prove some properties of series expansions of functions in these systems.
Keywords: Faber–Schauder function system, piecewise linear function, Vandermonde determinant, modulus of continuity, modulus of smoothness.
Received: 02.06.2005
Revised: 01.04.2007
English version:
Mathematical Notes, 2007, Volume 82, Issue 5, Pages 575–582
DOI: https://doi.org/10.1134/S0001434607110016
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: T. U. Aubakirov, N. A. Bokaev, “On a New Class of Function Systems of Faber–Schauder Type”, Mat. Zametki, 82:5 (2007), 643–651; Math. Notes, 82:5 (2007), 575–582
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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