14 citations · 41 across the 12 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…
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…
Jackson-type inequalities and widths of functional classes in the Musielak-Orlicz type spaces
F. G. Abdullayev, S. O. Chaichenko, M. Imashkyzy +1
In the Musielak-Orlicz type spaces , exact Jackson-type inequalities are obtained in terms of best approximations of functions and the averaged values of thei…
Direct and inverse approximation theorems of functions in the Musielak-Orlicz type spaces
Fahreddin Abdullayev, Stanislav Chaichenko, Andrii Shidlich
In Musilak-Orlicz type spaces , direct and inverse approximation theorems are obtained in terms of the best approximations of functions and generalized moduli…
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…
Direct and inverse theorems of approximation of functions in weighted Orlicz type spaces with variable exponent
Fahreddin G. Abdullayev, Stanislav O. Chaichenko, Meerim Imash kyzy +1
In weighted Orlicz type spaces with a variable summation exponent, the direct and inverse approximation theorems are proved in terms…