4 citations · 6 across the 6 of their papers we have counts for
7 papers
Estimates of deviations of Fourier sums on Weyl-Nagy classes
A. S. Serdyuk, I. V. Sokolenko
We establish estimates for exact upper bounds of deviations of partial Fourier sums on classes of -periodic functions whose $(r,β…
Approximation by Fourier sums in classes of Weyl--Nagy differentiable functions with high exponent of smoothness
A. S. Serdyuk, I. V. Sokolenko
We establish asymptotic estimates for the least upper bounds of approximations in the uniform metric by Fourier sums of order of classes of -periodic Weyl--Nagy different…
Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness
A. S. Serdyuk, I. V. Sokolenko
We find two-sides estimates for the best uniform approximations of classes of convolutions of -periodic functions from unit ball of the space with fixed…
Approximation by Fourier sums in classes of differentiable functions with high exponents of smoothness
A. S. Serdyuk, I. V. Sokolenko
We find asymptotic equalities for the exact upper bounds of approximations by Fourier sums of Weyl-Nagy classes for rapidly growing exponents of smoot…
Approximation by interpolation trigonometric polynomials in metrics of the spaces on the classes of periodic entire functions
A. S. Serdyuk, I. V. Sokolenko
We obtain the asymptotic equalities for the least upper bounds of approximations by interpolation trigonometric polynomials with the equidistant nodes $x_k^{(n-1)}=\frac{2kπ}{2n-1}…
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…