2 citations · 2 across the 1 of their papers we have counts for
3 papers
math.CA2020★ 2 cited
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…
math.CA2018
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…
math.CA2016
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…