Sergei Kalmykov: Some estimates of the Lebesgue constants for Lagrange interpolation processes by rational functions

Abstract:
We discuss estimates of the Lebesgue constants for Lagrange interpolation processes on several intervals by rational functions with prescribed poles. The poles may have accumulation points on the intervals. Proofs are based on an analog of the inverse polynomial image method for rational functions with fixed poles.

The talk is based on joint work with A. Lukashov.

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