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

  • 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 Ep(Ω),p1. In particular, we describe the relationship between the best approximations En(f)Ep and the logarithmic order ρL and type σL of the function f(z).
Published
25.10.1994
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.
Section
Research articles