G. Alpan

activity

20162020

collaborators

4 papers

math.CA2020

On the Widom factors for $L_{p}$ extremal polynomials

Gökalp Alpan, Maxim Zinchenko

We continue our study of the Widom factors for $L_{p} (μ)$ extremal polynomials initiated in [4]. In this work we characterize sets for which the lower bounds obtained in [4] are satu…

math.CA2019

Sharp lower bounds for the Widom factors on the real line

Gökalp Alpan, Maxim Zinchenko

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 fo…

math.CA2018

Szegő's Condition on Compact subsets of $C$

Gökalp Alpan

Let $K$ be a non-polar compact subset of $C$ and $μ_{K}$ be its equilibrium measure. Let $μ$ be a unit Borel measure supported on a compact set which contains the support of…

math.CA2016

Orthogonal polynomials associated with equilibrium measures on $R$

Gökalp Alpan

Let $K$ be a non-polar compact subset of $R$ and $μ_{K}$ denote the equilibrium measure of $K$ . Furthermore, let $P_{n} (\cdot, μ_{K})$ be the $n$ -th monic orthogonal…

On the Widom factors for Lp​ extremal polynomials

Sharp lower bounds for the Widom factors on the real line

Szegő's Condition on Compact subsets of C

Orthogonal polynomials associated with equilibrium measures on R

On the Widom factors for $L_{p}$ extremal polynomials

Szegő's Condition on Compact subsets of $C$

Orthogonal polynomials associated with equilibrium measures on $R$