Publications
Article · Mathematical Notes · November 1, 2007
On a new class of function systems of Faber-Schauder type
Тойбек Уатаевич Аубакиров, Nurzhan Bokayev
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.
Advanced Banach Space TheoryApproximation Theory and Sequence Spacesadvanced mathematical theoriesfunction systemsbasis functionscontinuous functions
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