22 citations · 217 across the 88 of their papers we have counts for
4 papers · 1 filter
Discovering of boundedness and continuity of random fields by means of partition entropic scheme
Eugene Ostrovsky, Leonid Sirota
We construct a new sufficient conditions for boundedness or continuity of arbitrary random fields relying on the so-called partition scheme, alike in the classical majorizing measu…
Trigonometric approximation in Sobolev-Grand Lebesgue Spaces
E. Ostrovsky, L. Sirota
We study in this short preprint the theory of trigonometric approximation in the so-called Banach functional rearrangement invariant Sobolev-Grand Lebesgue Spaces.
Generalized Bernstein-type approximation of continuous functions
Eugene Ostrovsky, Leonid Sirota
We derive in this short article the non-asymptotical non-uniform sharp error estimation for the Bernstein's type approximation of continuous function based on the modern probabilis…
Banach spaces characterization of random vectors with exponential decreasing tails of distribution
E. Ostrovsky, L. Sirota
We present in this paper the Banach space representation for the set of random finite-dimensional vectors with exponential decreasing tails of distributions. We show that there are…