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- Title
Polynomial Form of de Branges Conditions for the Denseness of Algebraic Polynomials in the Space C.
- Authors
Bakan, A. G.
- Abstract
In the criterion for polynomial denseness in the space C established by de Branges in 1959, we replace the requirement of the existence of an entire function by an equivalent requirement of the existence of a polynomial sequence. We introduce the notion of strict compactness of polynomial sets and establish sufficient conditions for a polynomial family to possess this property.
- Subjects
POLYNOMIALS; INTEGRAL functions; MATHEMATICAL sequences; APPROXIMATION theory; MATHEMATICAL analysis; MATHEMATICS
- Publication
Ukrainian Mathematical Journal, 2005, Vol 57, Issue 3, p364
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-005-0196-5