3 citations · 4 across the 6 of their papers we have counts for
4 papers · 1 filter
Smoothing of weights in the Bernstein approximation problem
Andrew Bakan, Jürgen Prestin
In 1924 S.Bernstein asked for conditions on a uniformly bounded on Borel function (weight) which imply the denseness of algebraic pol…
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…
Direct and inverse approximation theorems of -periodic functions by Taylor--Abel--Poisson means
Jürgen Prestin, Viktor Savchuk, Andrii Shidlich
We obtain direct and inverse approximation theorems of -periodic functions by Taylor--Abel--Poisson operators in the integral metric.
On approximation of functions by algebraic polynomials in Hölder spaces
Yurii Kolomoitsev, Tetiana Lomako, Jürgen Prestin
We study approximation of functions by algebraic polynomials in the Hölder spaces corresponding to the generalized Jacobi translation and the Ditzian-Totik moduli of smoothness. By…