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Complex Approximations, Orthogonal Polynomials and Applications (CAOPA)
March 14, 2022 20:00–21:00, Moscow, online via Zoom at 17:00 GMT (=13:00 EDT=18:00 CET=20:00 Msk)
 


Estimates of Lebesgue constants for Lagrange interpolation processes by rational functions under mild restrictions to their fixed poles

A. L. Lukashov

Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region

Abstract: We estimate the Lebesgue constants for Lagrange interpolation processes on one or several intervals by rational functions with fixed poles. We admit that the poles have accumulation points on the intervals. To prove it we use an analogue of the inverse polynomial image method for rational functions with fixed poles.
The talk is based on a joint work with Sergei Kalmykov.

Language: English
 
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