Browsing by Keywords "Cantor sets"
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Asymptotic properties of Jacobi matrices for a family of fractal measures
(Taylor and Francis, 2018)We study the properties and asymptotics of the Jacobi matrices associated with equilibrium measures of the weakly equilibrium Cantor sets. These family of Cantor sets were defined, and different aspects of orthogonal ... 
Asymptotics of extremal polynomials for some special cases
(Bilkent University, 201705)We study the asymptotics of orthogonal and Chebyshev polynomials on fractals. We consider generalized Julia sets in the sense of Br uckB uger and weakly equilibrium Cantor sets which was introduced in [62]. We give ... 
Bases in banach spaces of smooth functions on cantortype sets
(Bilkent University, 2013)We construct Schauder bases in the spaces of continuous functions C p (K) and in the Whitney spaces E p (K) where K is a Cantortype set. Here different Cantortype sets are considered. In the construction, local ... 
Bases in Banach spaces of smooth functions on Cantortype sets
(Elsevier, 2011)We suggest a Schauder basis in Banach spaces of smooth functions and traces of smooth functions on Cantortype sets. In the construction, local Taylor expansions of functions are used. © 2011 Elsevier Inc. 
Widom factors
(Springer Netherlands, 2015)Given a nonpolar compact set K,we define the nth Widom factor W<inf>n</inf>(K) as the ratio of the supnorm of the nth Chebyshev polynomial on K to the nth degree of its logarithmic capacity. By G. Szegő, the sequence ... 
Widom Factors
(Bilkent University, 2014)In this thesis we recall classical results on Chebyshev polynomials and logarithmic capacity. Given a nonpolar compact set K, we define the nth Widom factor Wn(K) as the ratio of the supnorm of the nth Chebyshev ...