On the best polynomial approximation of entire transcendental functions in Banach spaces. II

Authors

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

Abstract

We study the behavior of the best approximations En(f)Ep of entire transcendental functions f(z) of the order ρ = 0 by polynomials of at most n th degree in the metric of the space E′_p(Ω),\, p ≥ 1. In particular, we describe the relationship between the best approximations E_n(f)E′_p and the logarithmic order ρ_L and type σ_L of the function f(z).

Published

25.10.1994

Issue

Section

Research articles

How to Cite

Vakarchuk, S. B. “On the Best Polynomial Approximation of Entire Transcendental Functions in Banach Spaces. II”. Ukrains’kyi Matematychnyi Zhurnal, vol. 46, no. 10, Oct. 1994, pp. 1318–1322, https://umj.imath.kiev.ua/index.php/umj/article/view/5609.