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arXiv · 1610.05026

Boundedness of Lebesgue constants and interpolating Faber bases

Viktoriia Bilet·Oleksiy Dovgoshey·Jürgen Prestin
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Abstract

We investigate some conditions under which the Lebesgue constants or Lebesgue functions are bounded for the classical Lagrange polynomial interpolation on a compact subset of $\mathbb R$. In particular, relationships of such boundedness with uniform and pointwise convergence of Lagrange polynomials and with the existence of interpolating Faber bases are discussed.

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BibTeXRIS

Viktoriia Bilet, Oleksiy Dovgoshey, Jürgen Prestin. 2016-10-17. Boundedness of Lebesgue constants and interpolating Faber bases. https://arxiv.org/abs/1610.05026

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