1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.CA2024
Approximation by Fourier sums on the classes of generalized Poisson integrals
Anatoly Serdyuk, Tetiana Stepaniuk
We present a survey of results related to the solution of Kolmogorov--Nikolsky problem for Fourier sums on the classes of generalized Poisson integrals , which consi…
math.CA2023
Estimates of approximations by interpolation trigonometric polynomials on the classes of convolutions of high smoothness
A. S. Serdyuk, T. A. Stepaniuk
We establish interpolation analogues of Lebesgue type inequalities on the sets of -periodic functions , which are representable as convolutions of generating ke…
math.CA2014★ 1 cited
Estimates of the best approximations and approximations of Fourier sums of classes of convolutions of periodic functions of not high smoothness in integral metrics
T. A. Stepaniuk
In metric of spaces , we obtain exact order estimates of best approximations and approximations by Fourier sums of classes of convolutions the periodic fun…