Affiliation:
1. Lesya Ukrainka Volyn National University, Lutsk, Ukraine
Abstract
Approximation properties of three-harmonic Poisson operators on the classes of
$(\psi,\beta)$-differentiable functions of low smoothness given on the real
axis have been studied. Asymptotic equalities have been obtained that provide
in some cases a solution to the Kolmogorov--Nikol'skii problem for
three-harmonic Poisson operators $P_{3,\sigma}(f;x)$ on the classes
$\widehat{C}_{\beta,\infty}^{\psi}$, $\beta\in\mathbb{R}$, in the uniform metric.
Publisher
Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine
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