6 papers
A four-way Szegő theorem for extremal polynomials on subsets of
Gökalp Alpan, Maxim Zinchenko
We prove a four-way Szegő theorem for extremal polynomials on compact supports , where is a regular compact set and is a finite or coun…
Widom factors for Chebyshev and residual polynomials on semi-regular subsets of
Robert Dukes, Maxim Zinchenko
We study Widom factors for Chebyshev and residual polynomials on compact non-polar subsets of the real line that need not be regular in the sense of potential theory and…
Some Remarks About Integral Categories
Yaroslav Kopylov, Max Zinchenko
We consider integral categories, a class of categories that gained importance in the last three decades in the categorical foundations of algebra and functional analysis. We discus…
Classes of Universal Epi- and Monomorphisms in Quasi-Abelian Categories
Max Zinchenko
This paper provides a solution to the open problen formulated in Glotko and Kuzminov article, as well as examples of non-strict universal epimorphisms and monomorphisms.
Weighted Chebyshev Polynomials on Compact Subsets of the Complex Plane
Galen Novello, Klaus Schiefermayr, Maxim Zinchenko
We study weighted Chebyshev polynomials on compact subsets of the complex plane with respect to a bounded weight function. We establish existence and uniqueness of weighted Chebysh…
Bounds for weighted Chebyshev and residual polynomials on subsets of
Jacob S. Christiansen, Barry Simon, Maxim Zinchenko
We give upper and lower bounds for weighted Chebyshev and residual polynomials on subsets of the real line. As an application, we prove a SzegÅ-type theorem in the setting of Parr…