Relationship between the Hadamard Theorem on Three Disks and Certain Problems of Polynomial Approximation of Analytic Functions

  • S. B. Vakarchuk Днепропетр. ун-т им. А. Нобеля

Abstract

By using the classical Hadamard theorem, we obtain an exact (in a certain sense) inequality for the best polynomial approximations of an analytic function f(z) from the Hardy space H p, p ≥ 1, in disks of radii ρ, ρ1, and ρ2, 0 < ρ1 < ρ < ρ2 < 1.
Published
25.02.2001
How to Cite
VakarchukS. B. “Relationship Between the Hadamard Theorem on Three Disks and Certain Problems of Polynomial Approximation of Analytic Functions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 53, no. 2, Feb. 2001, pp. 250-4, https://umj.imath.kiev.ua/index.php/umj/article/view/4241.
Section
Research articles