Непериодический Модуль Гладкости, Соответствующий Производной Рисса

On generalized characteristics of smoothness of functions and on average $\nu$-widths in the space $L_2(\mathbb{R})$

“…Let σ := νπ(1 + ε), where ε ∈ (0, ν), ν := min(ν, 1/ν). Proceeding from (21) we have dim(B σ,2 ; L 2 (R)) = ν(1 + ε). Putting…”

“…Vasiliev and others (see, for example, [2] - [20]). In order to further generalize a number of the results we have mentioned S.N.Vasilyev, S.Yu.Artamonov, S.B.Vakarchuk which proposed a number of approaches that allowed him to come to one degree or another to solve this problem (see, for example, [13], [21] - [23]). In this article, which is a natural continuation of papers [22] - [23], the distribution of the results obtained in [19] to the more general case is given.…”