Solution of the Kolmogorov-Nikol’skii problem for three-harmonic Poisson integrals on classes Cψβ,∞
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 t−3, which defines an order of the saturation of the method P3(δ)
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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
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Research papers