14 citations · 42 across the 13 of their papers we have counts for
13 papers
Best weighted approximation of some kernels on the real axis
Stanislav Chaichenko, Viktor Savchuk, Andrii Shidlich
We calculate the exact value and find the polynomial of the best weighted polynomial approximation of kernels of the form , where and are fix…
Actual problems of the approximation theory in metrics of discrete spaces on sets of summable periodic and almost periodic functions
Anatolii Serdyuk, Andrii Shidlich
This review paper highlights the main aspects of the development of research related to the solution of extreme problems in the theory of approximation in the spaces ${\mathcal S}^…
Approximation on hexagonal domains by Taylor-Abel-Poisson means
Jürgen Prestin, Viktor Savchuk, Andrii Shidlich
Approximative properties of the Taylor-Abel-Poisson linear summation me\-thod of Fourier series are considered for functions of several variables, periodic with respect to the hexa…
Direct and inverse approximation theorems in the Besicovitch-Museilak-Orlicz spaces of almost periodic functions
Stanislav Chaichenko, Andrii Shidlich, Tetiana Shulyk
In terms of the best approximations of functions and generalized moduli of smoothness, direct and inverse approximation theorems are proved for Besicovitch almost periodic function…
Direct and inverse theorems on the approximation of almost periodic functions in Besicovitch-Stepanets spaces
Anatolii Serdyuk, Andrii Shidlich
Direct and inverse approximation theorems are proved in the Besicovitch-Stepanets spaces of almost periodic functions in terms of the best approximations of fun…
Problems of approximation theory in abstract linear spaces
Anatolii S. Serdyuk, Andrii L. Shidlich
This review paper presents the results, which cover the study of current problems of approximation theory in abstract linear spaces. Such research has been actively developed since…