Approximation of classes of analytic functions by de la Vallee Poussin sums in uniform metric

zbMath1276.42004arXiv1112.0967MaRDI QIDQ4648976

Ie. Yu. Ovsii, A. S. Serdyuk, A. P. Musienko

Publication date: 16 November 2012

Full work available at URL: https://arxiv.org/abs/1112.0967

zbMATH Keywords

Poisson integralNeumann kernelde la Vallée Poussin sumpolyharmonic Poisson kernel

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation by other special function classes (41A30)

Related Items (8)

Approximation of functions by de la Vallée-Poussin sums in weighted Orlicz spaces ⋮ Lebesgue-type inequalities for the de la Valée-Poussin sums on sets of analytic functions ⋮ Lebesgue-type inequalities for the de la Vallée-Poussin sums on sets of entire functions ⋮ The \(L^1\) norms of de la Vallée Poussin kernels ⋮ Uniform approximation of periodical functions by trigonometric sums of special type ⋮ Approximation of periodic functions by Zygmund means in Orlicz spaces ⋮ Estimates for the approximations of the classes of analytic functions by interpolation analogs of the de-la-Vallée-Poussin sums ⋮ Simultaneous approximation properties of de la Vallée-Poussin means in weighted Orlicz spaces

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