Alexei Shadrin

most citedOn almost everywhere convergence of orthogonal spline projections with arbitrary knots

23 citations · 26 across the 2 of their papers we have counts for

collaborators

2 papers

math.CA2015★ 3 cited

On the Markov inequality in the $L_{2}$ -norm with Gegenbauer weight

Alexei Shadrin, Geno Nikolov, Dragomir Aleksov

Let $w_{λ} (t) = (1 - t^{2})^{λ - 1/2}$ , $λ > - 1/2$ , be the Gegenbauer weight function, and $∥ \cdot ∥$ denote the associated $L_{2}$ -norm, i.e., $$ \Vert f\Vert:=\Big(\int_{-1}^{1}w_λ(t)\v…

math.FA2013★ 23 cited

On almost everywhere convergence of orthogonal spline projections with arbitrary knots

Markus Passenbrunner, Alexei Shadrin

The main result of this paper is a proof that, for any $f \in L_{1} [a, b]$ , a sequence of its orthogonal projections $(P_{Δ_{n}} (f))$ onto splines of order $k$ with arbitrary knots $Δ_n…

On the Markov inequality in the L2​-norm with Gegenbauer weight

On almost everywhere convergence of orthogonal spline projections with arbitrary knots

On the Markov inequality in the $L_{2}$ -norm with Gegenbauer weight