2 citations · 4 across the 13 of their papers we have counts for
13 papers
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…
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…
Approximation of generalized Poisson integrals by interpolation trigonometric polynomials
Anatoly Serdyuk, Tetiana Stepaniuk
In this paper we establish asymptotically best possible interpolation Lebesgue-type inequalities for -periodic functions , which are representable as generalized Poisson int…
Uniform approximations by Fourier sums on the sets of convolutions of periodic functions of high smoothness
Anatoly Serdyuk, Tetiana Stepaniuk
On the sets of -periodic functions , which are defined with a help of -integrals of the functions from , we establish Lebesgue-type inequalities, in which…
About Lebesgue inequalities on the classes of generalized Poisson integrals
A. S. Serdyuk, T. A. Stepaniuk
For the functions , which can be represented in the form of the convolution $f(x)=\frac{a_{0}}{2}+\frac{1}π\int\limits_{-π}^π\sum\limits_{k=1}^{\infty}e^{-αk^{r}}\cos(kt-\frac{β…
Lebesque-type inequalities for the Fourier sums on classes of generalized Poisson integrals
Anatoly Serdyuk, Tetiana Stepaniuk
For functions from the set of generalized Poisson integrals , , we obtain upper estimates for the deviations of Fourier sums in the uniform metric…