Solution of the Kolmogorov-Nikol’skii problem for three-harmonic Poisson integrals on classes Cψβ,

Authors

  • U. Z. Grabova Lesya Ukrainka Eastern European National University
  • I. V. Kal’chuk Lesya Ukrainka Eastern European National University

Abstract

We obtain asymptotic equalities for upper bounds of approximations by threeharmonic integrals of Poisson P3(δ) in uniform metric on classes of continuous 2π-periodic functions whose (ψ,β)-derivatives belong to the unit ball of the space L, in the case when the functions ψ(t) tend to zero faster, then the function t3, which defines an order of the saturation of the method P3(δ)

Published

2014-06-24

How to Cite

Grabova, U. Z., & Kal’chuk, I. V. (2014). Solution of the Kolmogorov-Nikol’skii problem for three-harmonic Poisson integrals on classes Cψβ,. Transactions of Institute of Mathematics, the NAS of Ukraine, 11(3), 104–127. Retrieved from https://trim.imath.kiev.ua/index.php/trim/article/view/70