A. Musienko

activity

20112013

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

7 citations · 7 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2013

Lebesgue-type inequalities for de la Vallee Poussin sums and their interpolation analogues on the sets $(ψ, β ˉ)$ -differentiable functions

V. A. Voitovych, A. P. Musienko

We obtain the estimates of steady rates of deviations of the de Vallée Poussin sums and interpolation analogues of sums of Vallée Poussin from the functions that belong to the spac…

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…

math.CA2011★ 7 cited

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

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

In this paper asymptotic equalities are found for the least upper bounds of deviations in the uniform metric of de la Vallee Poussin sums on classes of 2π-periodic (ψ,β)-differenti…

Lebesgue-type inequalities for de la Vallee Poussin sums and their interpolation analogues on the sets (ψ,βˉ​)-differentiable functions

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

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

Lebesgue-type inequalities for de la Vallee Poussin sums and their interpolation analogues on the sets $(ψ, β ˉ)$ -differentiable functions