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Approximation of continuous periodic functions by de la Vallee Poussin sums
We obtain an estimate of the deviation of de la Vallee Poussin sums V_{n,n/2}(f;x) from continuous functions f, expressed in terms of values of theirs modulus of continuity. It is established thatExpand
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Uniform approximation of Poisson integrals of functions from the class Hω by de la Vallée Poussin sums
We obtain asymptotic equalities for least upper bounds of deviations in the uniform metric of de la Vallée Poussin sums on the sets CβqHω of Poisson integrals of functions from the class Hω generatedExpand
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Uniform Approximation of Periodical Functions by Trigonometric Sums of Special Type
The approximation characteristics of trigonometric sums of special type on the class of ()-differentiable (in the sense of A. I. Stepanets) periodical functions are studied. Because of agreementExpand
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On the Best Approximation of Certain Classes of Periodic Functions by Trigonometric Polynomials (pp. 129-144)
We obtain the estimates for the best approximation in the uniform metric of the classes of 2π-periodic functions whose (Ψ,β)-derivatives have a given majorant ω of the modulus of continuity. It isExpand
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