Browsing by Subject "Local interpolation"
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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(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 A local version of the Pawlucki-Plesniak extension operator(Elsevier, 2005-01) Altun, M.; Goncharov, A.Using local interpolation of Whitney functions, we generalize the Pawłucki and Pleśniak approach to construct a continuous linear extension operator. We show the continuity of the modified operator in the case of generalized Cantor-type sets without Markov's Property.