22 citations · 217 across the 88 of their papers we have counts for
6 papers · 2 filters
Non-uniform non-asymptotical sharp estimate for the rate of convergence for Bernstein's polynomial approximation, with bilateral constant evaluation
Eugene Ostrovsky, Leonid Sirota
We derive the non-asymptotical non-uniform sharp error estimation for Bernstein's approximation of continuous function based on the modern probabilistic apparatus. We investigate a…
Criterion for convergence almost everywhere, with applications
E. Ostrovsky, L. Sirota
We derive the necessary and sufficient condition for almost sure convergence of the sequence of measurable functions, and consider some applications in the theory of Fourier series…
Strengthening of weak convergence for Radon measures in separable Banach spaces
E. Ostrovsky, L. Sirota
We prove in this short report that for arbitrary weak converging sequence of sigma-finite Borelian measures in the separable Banach space there is a compact embedded separable subs…
Exact norm estimates for multivariate dilation operators between two Bilateral Weight Grand Lebesgue Spaces
E. Ostrovsky, L. Sirota
We give in this short paper a sharp estimate for the norm of a multivariate dilation operator generated by multi-matrix (tensor) linear argument transformation (dilation operator)…
Multidimensional Lusin-type inequalities for Grand Lebesgue Spaces
E. Ostrovsky, L Sirota
We generalize in this short paper the classical Luzin's theorem about existence of integral on the measurable function and its multidimensional analogues on the many popular classe…
Poincare type inequalities for two different Bilateral Grand Lebesgue Spaces
E. Ostrovsky, L. Sirota
In this paper we obtain the non-asymptotic inequalities of Poincare type between function and its weak gradient belonging the so-called Bilateral Grand Lebesgue Spaces over general…