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On a new class of function systems of faber–schauder type (2005).
| Content Provider | CiteSeerX |
|---|---|
| Author | Bokaev, N. A. Aubakirov, T. U. |
| Abstract | 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. DOI: 10.1134/S0001434607110016 Key words: Faber–Schauder function system, piecewise linear function, Vandermonde deter- |
| File Format | |
| Publisher Date | 2005-01-01 |
| Access Restriction | Open |
| Content Type | Text |