2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.CV2014
The order of Lebesgue constant of Lagrange interpolation on several intervals
A. L. Lukashov, J. Szabados
We consider Lagrange interpolation on the set of finitely many intervals. This problem is closely related to the least deviating polynomial from zero on such sets. We will obtain l…
math.CV2014★ 2 cited
Sharp Markov-type Inequalities for Rational Functions on Several Intervals
M. A. Akturk, A. Lukashov
In this paper, we give sharp Rusak- and Markov-type inequalities for rational functions on several intervals when the system of intervals is a \textquotedblleft rational function i…
math.CV2014
Approximation of sgn(x) on two symmetric intervals by rational functions with fixed poles
A. Lukashov, D. Prokhorov
Recently A. Eremenko and P. Yuditskii found explicit solutions of the best polynomial approximation problems of sgn(x) over two intervals in terms of conformal mappings onto specia…