18 citations · 46 across the 12 of their papers we have counts for
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math.NA2012★ 2 cited
On Markov-Duffin-Schaeffer inequalities with a majorant. II
Geno Nikolov, Alexei Shadrin
We are continuing out studies of the so-called Markov inequalities with a majorant. Inequalities of this type provide a bound for the -th derivative of an algebraic polynomial w…
math.NA2012
Landau--Kolmogorov inequality revisited
Alexei Shadrin
The Landau-Kolmogorov problem consists of finding the upper bound for the norm of intermediate derivative , when the bounds and ,…
math.NA2012★ 4 cited
A stability barrier for reconstructions from Fourier samples
Ben Adcock, Anders C. Hansen, Alexei Shadrin
We prove that any stable method for resolving the Gibbs phenomenon - that is, recovering high-order accuracy from the first Fourier coefficients of an analytic and nonperiodic…