A. Ismailov

collaborators

2 papers

math.CA2023

Lower bounds on the measure of the support of positive and negative parts of trigonometric polynomials

Abdulamin Ismailov

For a finite set of natural numbers $D$ consider a complex polynomial of the form $f (z) = \sum_{d \in D} c_{d} z^{d}$ . Let $ρ_{+} (f)$ and $ρ_{-} (f)$ be the fractions of the unit circle tha…

math.MG2023

Dimension-free estimates on distances between subsets of volume $ε$ inside a unit-volume body

Abdulamin Ismailov, Alexei Kanel-Belov, Fyodor Ivlev

Average distance between two points in a unit-volume body $K \subset R^{n}$ tends to infinity as $n \to \infty$ . However, for two small subsets of volume $ε > 0$ t…

Lower bounds on the measure of the support of positive and negative parts of trigonometric polynomials

Dimension-free estimates on distances between subsets of volume ε inside a unit-volume body

Dimension-free estimates on distances between subsets of volume $ε$ inside a unit-volume body