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arXiv · 2012.03858

Convergence rate for weighted polynomial approximation on the real line

Anna Kononova
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Abstract

In this note we study a quantitative version of Bernstein's approximation problem when the polynomials are dense in weighted spaces on the real line completing a result of S.~N.~Mergelyan (1960). We estimate in the logarithmic scale the error of the weighted polynomial approximation of the Cauchy kernel.

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Anna Kononova. 2020-12-07. Convergence rate for weighted polynomial approximation on the real line. https://doi.org/10.1016/j.jat.2021.105642

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