D. Dmitrishin

activity

20122026

most citedExtremal trigonometric polynomials and the problem of optimal stabilization of chaos

3 citations · 8 across the 11 of their papers we have counts for

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math.CA2024

Some properties of the quadrinomials $p (z) = 1 + κ (z + z^{N - 1}) + z^{N}$ and $q (z) = 1 + κ (z - z^{N - 1}) - z^{N}$

Dmitriy Dmitrishin, Alexander Stokolos

We show that all the zeros of the quadrinomial $p (z) = 1 + κ (z + z^{N - 1}) + z^{N}$ lie on the unit circle if and only if the inequalities \[ -1\leκ\le 1\; (\mbox{ if $N$ is even}),\;\; -1\le…

math.CA2024

Extremizers for the Rogosinski-Szegö estimate of the second coefficient in nonnegative sine polynomials

Dmitriy Dmitrishin, Alexander Stokolos, Walter Trebels

For the class of sine polynomials $b_{1} sin t + b_{2} sin 2 t + ... + b_{N} sin N t, (b_{N} \neq = 0),$ which are nonnegative on $(0, π)$ , W. Rogosinski and G. Szegö derived, among other things, ex…

Some properties of the quadrinomials p(z)=1+κ(z+zN−1)+zN and q(z)=1+κ(z−zN−1)−zN

Extremizers for the Rogosinski-Szegö estimate of the second coefficient in nonnegative sine polynomials

Some properties of the quadrinomials $p (z) = 1 + κ (z + z^{N - 1}) + z^{N}$ and $q (z) = 1 + κ (z - z^{N - 1}) - z^{N}$