Browsing by Subject "Bases"
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Item Open Access Bases in the spaces of C∞-functions on Cantor-type sets(Springer New York LLC, 2006) Goncharov, A.We construct a topological basis in the space of Whitney functions given on the Cantor-type set.Item Open Access Interpolating bases in the spaces of C(formula)-functions on cantor-type sets(Bilkent University, 2006) Özfidan, NecipIn this work by using the method of local interpolat ions suggested in [9] we construct topological bases in the spaces of CP-functions defined on uniformly perfect compact sets of Cantor type. Elements of the basis are polynomials of any preassigned degree.Item Open Access Spaces of Whitney functions with basis(Wiley - V C H Verlag GmbH & Co. KGaA, 2000) Goncharov, A. P.We construct a basis in the spaces of Whitney functions ε(Κ) for two model cases, where -Κ⊂ℝ is a sequence of closed intervals tending to a point. In the proof we use a convolution property for the coefficients of scaling Chebyshev polynomials.