4 papers · 1 filter
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…
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…