Lebesgue inequalities for poisson integrals

  • A. S. Serdyuk
  • O. I. Stepanets

Abstract

We obtain estimates for the deviations of the Fourier partial sums on the sets of the Poisson integrals of functions from the spaceL p ,p≥1, that are expressed in terms of the values of the best approximations of such functions by trigonometric polynomials in the metric ofL p . We show that the estimates obtained are unimprovable on some important functional subsets.
Published
25.06.2000
How to Cite
SerdyukA. S., and StepanetsO. I. “Lebesgue Inequalities for Poisson Integrals”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 52, no. 6, June 2000, pp. 798–808, https://umj.imath.kiev.ua/index.php/umj/article/view/4474.
Section
Research articles