On the Widom factors for Lp extremal polynomials
G Alpan, M Zinchenko - Journal of Approximation Theory, 2020 - Elsevier
We continue our study of the Widom factors for L p (μ) extremal polynomials initiated in
(Alpan and Zinchenko, 2020). In this work we characterize sets for which the lower bounds …
(Alpan and Zinchenko, 2020). In this work we characterize sets for which the lower bounds …
[HTML][HTML] Sharp lower bounds for the Widom factors on the real line
G Alpan, M Zinchenko - Journal of Mathematical Analysis and Applications, 2020 - Elsevier
We derive lower bounds for the L p (μ) norms of monic extremal polynomials with respect to
compactly supported probability measures μ. We obtain a sharp universal lower bound for …
compactly supported probability measures μ. We obtain a sharp universal lower bound for …
Some asymptotics for extremal polynomials
G Alpan, A Goncharov, B Hatinoğlu - Computational Analysis: AMAT …, 2016 - Springer
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[HTML][HTML] Widom factors for generalized Jacobi measures
G Alpan - Journal of Mathematical Analysis and Applications, 2022 - Elsevier
We study optimal lower and upper bounds for Widom factors W∞, n (K, w) associated with
Chebyshev polynomials for the weights w (x)= 1+ x and w (x)= 1− x on compact subsets of …
Chebyshev polynomials for the weights w (x)= 1+ x and w (x)= 1− x on compact subsets of …
Asymptotic properties of Jacobi matrices for a family of fractal measures
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 …
measures of the weakly equilibrium Cantor sets. These family of Cantor sets were defined …
Asymptotics of extremal polynomials for some special cases
G Alpan - 2017 - search.proquest.com
ASYMPTOTICS OF EXTREMAL POLYNOMIALS FOR SOME SPECIAL CASES Page 1
ASYMPTOTICS OF EXTREMAL POLYNOMIALS FOR SOME SPECIAL CASES a …
ASYMPTOTICS OF EXTREMAL POLYNOMIALS FOR SOME SPECIAL CASES a …
Numerical study of orthogonal polynomials for fractal measures
AN Şimşek - 2016 - search.proquest.com
In recent years, potential theory has an essential effect on approximation theory and
orthogonal polynomials. Basic concepts of the modern theory of general orthogonal …
orthogonal polynomials. Basic concepts of the modern theory of general orthogonal …