M. Komarov

activity

20152022

z f^{'} (z)

by special sums associated with the zeros of the Bessel polynomials

3 citations · 6 across the 5 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math.CA2018★ 1 cited

Caratheodory type representation with unit weights and related approximation problems

Mikhail A. Komarov

For arbitrary $n$ complex numbers $a_{ν - 1}$ , $ν = 1, \dots, n$ , where $n$ is sufficiently large, we get the representation in the form of power sums: $a_{ν - 1} = λ_{1}^{ν} + \dots + λ_{2 n + 1}^{ν}$ ,…

math.CA2018

Rate of approximation by logarithmic derivatives of polynomials whose zeros lie on a circle

Mikhail A. Komarov

We obtain an estimate for uniform approximation rate of bounded analytic in the unit disk functions by logarithmic derivatives of $C$ -polynomials, i.e., polynomials, all of whose z…