Altun, M.Goncharov, A.2015-07-282015-07-282005-010021-9045http://hdl.handle.net/11693/11357Using 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.EnglishCantor-type setsExtension operatorLocal interpolationMarkov's propertyWhitney functionsArticle10.1016/j.jat.2004.10.013