3 papers
math.CA2019
Approximation of functions by linear summation methods in the Orlicz type spaces
Stanislav Chaichenko, Viktor Savchuk, Andrii Shidlich
Approximative properties of linear summation methods of Fourier series are considered in the Orlicz type spaces . In particular, in terms of approximations by suc…
math.CA2019
Approximation theorems for multivariate Taylor-Abel-Poisson means
Jürgen Prestin, Viktor Savchuk, Andrii Shidlich
We obtain direct and inverse approximation theorems of functions of several variables by Taylor-Abel-Poisson means in the integral metrics. We also show that norms of multipliers i…
math.CV2015
Faber Polynomials with common zero
Viktor Savchuk
We describe the two sets of meromorphic univalent functions in the class , for which the sequence of Faber polynomials have the roots with following prop…