Given a non-polar compact set K,we define the n-th Widom factor Wn(K) as the ratio of the sup-norm of the n-th Chebyshev polynomial on K to the n-th degree of its logarithmic capacity. By G. Szegő, the sequence (Formula presented.) has subexponential growth. Our aim is to consider compact sets with maximal growth of the Widom factors. We show that for each sequence (Formula presented.) of subexponential growth there is a Cantor-type set whose Widom’s factors exceed Mn. We also present a set K with highly irregular behavior of the Widom factors. © 2014, Springer Science+Business Media Dordrecht
AbstractLet 0 < p < 18 and consider the Cantor set C∗(p) (where C∗(13) would be the classical Cantor...
Cataloged from PDF version of article.Thesis (Ph.D.): Bilkent University, Department of Mathematics,...
AbstractSums of exponentials are known to have unpleasant topological and analytical properties. By ...
We review some asymptotics for Chebyshev polynomials and orthogonal polynomials. Our main interest i...
We study optimal lower and upper bounds for Widom factors W-infinity,W-n(K, w) associated with Cheby...
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We determine which sets saturate the Szegő and Schiefermayr lower bounds on the norms of Chebyshev P...
Cataloged from PDF version of article.Thesis (M.S.): Bilkent University, Department of Mathematics, ...
We discuss several open problems related to analysis on fractals: Estimates of the Green functions, ...
We make a number of comments on Chebyshev polynomials for general compact subsets of the complex pla...
We consider Chebyshev polynomials, (Formula presented.), for infinite, compact sets (Formula present...
Extending a classical result of Widom from 1969, polynomials with small supremum norms are construct...
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We prove that there exist infinitely many coprime numbers $a$, $b$, $c$ with $a+b=c$ and $c>\operato...
AbstractLet f(n) denote the number of factorizations of the natural number n into factors larger tha...
AbstractLet 0 < p < 18 and consider the Cantor set C∗(p) (where C∗(13) would be the classical Cantor...
Cataloged from PDF version of article.Thesis (Ph.D.): Bilkent University, Department of Mathematics,...
AbstractSums of exponentials are known to have unpleasant topological and analytical properties. By ...
We review some asymptotics for Chebyshev polynomials and orthogonal polynomials. Our main interest i...
We study optimal lower and upper bounds for Widom factors W-infinity,W-n(K, w) associated with Cheby...
We consider Chebyshev polynomials, T_n(z), for infinite, compact sets e⊂ℝ (that is, the monic polyno...
We determine which sets saturate the Szegő and Schiefermayr lower bounds on the norms of Chebyshev P...
Cataloged from PDF version of article.Thesis (M.S.): Bilkent University, Department of Mathematics, ...
We discuss several open problems related to analysis on fractals: Estimates of the Green functions, ...
We make a number of comments on Chebyshev polynomials for general compact subsets of the complex pla...
We consider Chebyshev polynomials, (Formula presented.), for infinite, compact sets (Formula present...
Extending a classical result of Widom from 1969, polynomials with small supremum norms are construct...
We study almost prime solutions of systems of Diophantine equations in the Birch setting. Previous ...
We prove that there exist infinitely many coprime numbers $a$, $b$, $c$ with $a+b=c$ and $c>\operato...
AbstractLet f(n) denote the number of factorizations of the natural number n into factors larger tha...
AbstractLet 0 < p < 18 and consider the Cantor set C∗(p) (where C∗(13) would be the classical Cantor...
Cataloged from PDF version of article.Thesis (Ph.D.): Bilkent University, Department of Mathematics,...
AbstractSums of exponentials are known to have unpleasant topological and analytical properties. By ...