O. L. Vinogradov

Часть публикаций из профиля, по году от новых к старым. Это не полный список последних работ автора; работы без года — в конце.

• Негармонические ряды Фурье и точные неравенства типа Бернштейна2026
• Boundedness of averaging operators in weighted variable exponent spaces of periodic functions2025
• Direct and inverse theorems of approximation theory in Banach function spaces2025
• Average Dimension of Shift Spaces and Their Subspaces2024
• Средняя размерность пространств сдвигов и их подпространств2024
• Estimates for functionals with a known, finite set of moments, in terms of moduli of continuity, and behavior of constants, in the Jackson-type inequalities2013 · аннотациясвернуть

  A new technique is developed for estimating functionals by moduli of continuity. The generalized Jackson inequality \[A_σ-0(f)≤ \ 1 2mm _k=0^m-1 …

• Sharp inequalities for approximations of classes of periodic convolutions by odd-dimensional subspaces of shifts2009
• Sharp Jackson-type inequalities for approximations of classes of convolutions by entire functions of exponential type2006 · аннотациясвернуть

  In this paper, a new method is introduced for the proof of sharp Jackson-type inequalities for approximation of convolution classes of functions defined on the real line. These classes are approximated by linear…