15 citations · 22 across the 5 of their papers we have counts for
5 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.
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.
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…
Bide - Side Exponential and Moment Inequalities for Tails of Distributions of Polynomial Martingales
Eugene Ostrovsky
In this paper non-asymptotic exponential estimates are derived for the tail distribution of polynomial martingale differences in terms unconditional tails distributions of summands…