Bernstein and Gelfand widths of certain classes of analytic functions. II

被引：0

作者：

Parfenov O.G.

机构：

来源：

Journal of Mathematical Sciences | 1998年 / 92卷 / 1期

关键词：

Lebesgue Measure; Unit Ball; Lower Estimate; Asymptotic Formula; Blaschke Product;

D O I：

10.1007/BF02440148

中图分类号：

学科分类号：

摘要：

The Gelfond widths of the unit ball of H2(v) (the weighted Hardy space) with respect to the metric of the space L∞(Tτ) are considered (here Tτ is the circle of radius τ centered at the origin), as well as the Bernstein widths of the unit ball of H∞ with respect to the metric of the space L2(Tτ,μ). Asymptotic formulas for the widths in question are established for arbitrary measures v,μ. Bibliography: 5 titles. © 1998 Plenum Publishing Corporation.

引用

页码：3630 / 3634

页数：4

共 5 条

[1]

Parfenov O.G., Gelfand and Bernstein widths of some classes of continuous functions, Zap. Nauchn. Semin. POMI, 217, pp. 112-129, (1994)

[2]

Parfenov O.G., The widths of a certain class of analytic functions, Mat. Sb., 117, pp. 279-285, (1982)

[3]

Grenander W., Szego G., Toeplitz Forms and Their Applications, (1961)

[4]

Tikhomirov V.M., Some Questions of Approximation Theory [in Russian], (1976)

[5]

Fisher S., Micchelli C., The n-widths of sets of analytic functions, Duke Math. J., 47, pp. 789-801, (1980)

← 1 →