2 citations · 4 across the 3 of their papers we have counts for
4 papers
Approximation of classes of convolutions of periodic functions by linear methods constructed on basis of Fourier-Lagrange coefficients
A. S. Serdyuk, I. V. Sokolenko
We calculate the least upper bounds of pointwise and uniform approximations for classes of -periodic functions expressible as convolutions of an arbitrary square summable kerne…
Uniform approximations by Fourier sums on classes of generalized Poisson integrals
A. S. Serdyuk, T. A. Stepaniuk
We find asymptotic equalities for exact upper bounds of approximations by Fourier sums in uniform metric on classes of -periodic functions, representable in the form of convolu…
Asymptotic behavior of best approximations of classes of infinitely differentiable functions defined by moduli of continuity
A. S. Serdyuk, I. V. Sokolenko
We obtain asymptotic estimates for the best approximations by trigonometric polynomials in the metric space of classes of periodic functions that can be represented as…
Approximation of continuous periodic functions by de la Vallee Poussin sums
Ie. Yu. Ovsii, A. S. Serdyuk
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…