On a new class of function systems of Faber-Schauder type |
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Authors: | T U Aubakirov N A Bokaev |
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Institution: | 1. Buketov State University, Karaganda, Kazakhstan
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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. |
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