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Poisson distribution

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Poisson's equation

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Axioms

Asymptotic equalities are obtained for the least upper bounds of approximations of functions from the classes Wβ,∞r by the generalized Abel-Poisson integrals Pγ(δ),0&lt;γ≤2, for the case r&gt;γ in the uniform metric, which provide the solution to the Kolmogorov–Nikol’skii problem for the given method of approximation on the Weyl-Nagy classes.

Approximation Properties of the Generalized Abel-Poisson Integrals on the Weyl-Nagy Classes