Description of classes of functions with given rate of decrease of their best uniform polynomial approximations

V. K. Dzyadyk and G. A. Alibekov, “Uniform approximation of functions of a complex variable on closed sets with corners,” Mat. Sb.,75, No. 4, 502–557 (1968).Google Scholar

E. M. Dynkin, “Uniform approximation of functions in Jordan domains,” Sib. Mat. Zh.,18, No. 4, 775–786 (1977).Google Scholar

V. K. Dzyadyk, Introduction to the Theory of Uniform Approximation of Functions by Polynomials [in Russian], Nauka, Moscow (1977).Google Scholar

N. N. Vorob'ev and R. V. Polyakov, “Constructive characteristic of continuous functions, defined on smooth arcs,” Ukr. Mat. Zh.,20, No. 6, 786–792 (1968).Google Scholar

P. M. Tamrazov, Smoothness and Polynomial Approximations [in Russian], Naukova Dumka, Kiev (1975).Google Scholar

I. A. Shevchuk, “Constructive characteristic of functions which are continuous on a set ℜ ⊂C for the k-th modulus of continuity,” Mat. Zametki,25, No. 2, 225–249 (1979).Google Scholar

V. V. Andrievskii, “Geometric properties of the domains of V. K. Dzyadyk,” Ukr. Mat. Zh.,33, No. 6, 723–727 (1981).Google Scholar

V. V. Bardzinskii and P. M. Tamrazov, “Complex finite-difference smoothnesses and polynomial approximations,” in: Contemporary Problems of Function Theory; Materials of the All-Union School on Function Theory, Azerb. Univ., Baku (1980), pp. 82–87.Google Scholar