Bounds for Christoffel Functions

2018 ◽  
pp. 37-45
Author(s):  
Eli Levin ◽  
Doron S. Lubinsky
Keyword(s):  
Christoffel Functions

scholarly journals Asymptotic Behaviour of Christoffel–Darboux Kernel Via Three-Term Recurrence Relation I

2020 ◽  
Author(s):  
Grzegorz Świderski ◽  
Bartosz Trojan
Keyword(s):  
Asymptotic Behavior ◽  
Asymptotic Behaviour ◽  
Recurrence Relation ◽  
Scaling Limits ◽  
Christoffel Functions ◽  
Asymptotically Periodic ◽  
Three Term Recurrence Relation

Abstract For Jacobi parameters belonging to one of three classes: asymptotically periodic, periodically modulated, and the blend of these two, we study the asymptotic behavior of the Christoffel functions and the scaling limits of the Christoffel–Darboux kernel. We assume regularity of Jacobi parameters in terms of the Stolz class. We emphasize that the first class only gives rise to measures with compact supports.

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