15 citations · 24 across the 7 of their papers we have counts for
7 papers
A Remark on the Inequalities of Bernstein - Markov Type in Exponential Orlicz and Lorentz Spaces
E. Ostrovsky
We prove in this article the generalizations on the exponential Orlicz spaces Markov's - Bernstein's inequalities for algebraic polynomials and rational functions.
Exponential Bounds for Random Sums
B. M. Migdashiev, E. I. Ostrovsky
We construct a non - improved exponential bounds for distribution of normed sums of i.,i.d. random variables with random numbers of summand.
Correct Solvability of Nonlinear Ordinary Differential Equations in Orlicz Spaces
E. Ostrovsky
We prove in this article the well posedness of non - linear Ordinary Differential Equations (ODE) of first and second order in Orlicz spaces with unbounded domain of definition.
Exact Constants in the Rosenthal Moment Inequalities for Sums of independent centered Random Variables
B. Naimark, E. Ostrovsky
We study the exact constants in the moment inequalities for sums of centered independent random variables: improve their asymptotics, low and upper bounds, calculate more exact asy…
Universal Adaptive Estimations and Confidence Intervals in the Nonparametric Statistics
Eugene Ostrovsky, Leonid Sirota
The paper considers so-called adaptive estimations of regression, distribution density and spectral density of a Gaussian stationary sequence, asymptotically optimal in order at a…
Exponential Orlicz Spaces: New Norms and Applications
Eugene Ostrovsky
The aim of this paper is investigating of Orlicz spaces with exponential function and correspondence Orlicz norm: we introduce some new equivalent norms, obtain the tail characteri…