A. Serdyuk

activity

20122025

most citedApproximation by Fourier sums in classes of differentiable functions with high exponents of smoothness

4 citations · 8 across the 9 of their papers we have counts for

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math.CA2012★ 2 cited

Uniform approximation of periodical functions by trigonometric sums of a special type

A. S. Serdyuk, Ie. Yu. Ovsii

The approximation properties of the trigonometric sums U_{n,p}^ψof a special type are investigated on the classes C^ψ_{β, \infty} of (ψ,β)-differentiable (in the sense of Stepanets…

math.CA2012

Lebesgue-type inequalities for de la Vallee Poussin sums on the sets of analytic and entire functions

A. S. Serdyuk, A. P. Musienko

For the functions from sets $C_{β}^{ψ} C$ and $C_{β}^{ψ} L_{s}, 1 \leq s \leq \infty$ , generated by sequences $ψ (k) > 0$ satisfying the condition d'Alembert $\mathop {\rm \lim}\limits_{k\rightarr…