Results 241 to 243 of about 1,300,845 (243)

Estimates of n-diameters of some classes of functions analytic on Riemann surfaces

Mathematical Notes of the Academy of Sciences of the USSR, 1976
This study concerns the class A K D of functions x analytic in a domain D of an open Riemann surface and satisfying there the inequality ¦x¦⩽1 with metric defined by the norm of the space C(K) of functions continuous on the compact subsetK ⊂ D. The asymptotic formula $$\mathop {\lim }\limits_{n \to \infty } [d_n (A_K^D )]^{{1 \mathord{\left ...
Zakharyuta, V. P., Skiba, N. I.
openaire   +2 more sources

A lower bound for n-diameters

Mathematical Notes of the Academy of Sciences of the USSR, 1972
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Asymptotic formulas for n-diameters of certain compacta in L2[0, 1]

Mathematical Notes of the Academy of Sciences of the USSR, 1976
In the current article the order of the Kolmogorov n-diameters of compacta, determined by the operatorsLy =p (x)dy/dx +q (x)y, Ly = [−d2/dx2 +q (x) d/dx]r y in L2[0, 1] with a bound on the order of the error is studied and asymptotic formulas for dn as a function of p(x), q(x), and r are derived.
openaire   +2 more sources