V. V. Bodenchuk

most citedLower bounds for Kolmogorov widths of classes of convolutions with Neumann kernel

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2014

Exact values of Kolmogorov widths of classes of analytic functions

A. S. Serdyuk, V. V. Bodenchuk

We prove that kernels of analytic functions of kind $H_{h, β} (t) = k = 1 \sum \infty \frac{1}{c o s h k h} cos (k t - \frac{β π}{2})$ , $h > 0$ , $β \in R$ , satisfies Kus…

math.CA2013★ 2 cited

Lower bounds for Kolmogorov widths of classes of convolutions with Neumann kernel

V. V. Bodenchuk

We obtain exact lower bounds for Kolmogorov $n$ -widths in spaces $C$ and $L$ of classes of convolutions with Neumann kernel $N_{q,β}(t)=\sum\limits_{k=1}^{\infty}\dfrac{q^k}{k}\cos…

math.CA2013

Lower bounds for Kolmogorov widths of classes of Poisson integrals

A. S. Serdyuk, V. V. Bodenchuk

We expand the ranges of permissible values of $n$ ( $n \in N$ ) for which Poisson kernels $P_{q, β} (t) = k = 1 \sum \infty q^{k} cos (k t - \frac{β π}{2})$ , ${q\in(0…