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math.CA2016★ 1 cited
Boundedness of Lebesgue constants and interpolating Faber bases
Viktoriia Bilet, Oleksiy Dovgoshey, Jürgen Prestin
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 $\mat…
math.CA2014
Two ideals connected with strong right upper porosity at a point
V. Bilet, O. Dovgoshey, J. Prestin
Let be the set of upper strongly porous at subsets of and let be the intersection of maximal ideals . Some characteristic prop…
math.CA2012
A kind of local strong one-side porosity
O. Dovgoshey, V. Bilet
We define and study the completely strongly porous at 0 subsets of R^{+}. Several characterizations of these subsets are obtained, among them the description via an universal prope…