A continuous function space with a Faber basis
نویسندگان
چکیده
منابع مشابه
A continuous function space with a Faber basis
Let S ⊂ R be compact with #S = ∞ and let C(S) be the set of all real continuous functions on S. We ask for an algebraic polynomial sequence (Pn) ∞ n=0 with deg Pn = n such that every f ∈ C(S) has a unique representation f = ∑∞ i=0 αiPi and call such a basis Faber basis. In the special case of S = Sq = {qk; k ∈ N0} ∪ {0}, 0 < q < 1, we prove the existence of such a basis. A special orthonormal F...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2003
ISSN: 0021-9045
DOI: 10.1016/j.jat.2003.11.007