2 citations · 2 across the 4 of their papers we have counts for
7 papers
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…
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…
Widths of functional classes defined by majorants of generalized moduli of smoothness in the spaces
Fahreddin Abdullayev, Anatolii Serdyuk, Andrii Shidlich
Exact Jackson-type inequalities are obtained in terms of best approximations and averaged values of generalized moduli of smoothness in the spaces . The values of K…
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…
Direct and inverse approximation theorems of functions in the Orlicz type spaces S_M
Stanislav Chaichenko, Andrii Shidlich, Fahreddin Abdullayev
In the Orlicz type spaces , we prove direct and inverse approximation theorems in terms of the best approximations of functions and moduli of smoothness of fracti…