In this work the estimate about modulus of smoothness of the derivatives of the functions is obtained in Orlicz spaces. The relations between the modulus of smoothness of the functions with $n$th partial and Vallée-Poussin sums of the Fourier series in Orlicz spaces are studied.
This work was supported by Scientific Research Projects Cordination Unit of Muş Alparslan University. Project No: BAP-18-EMF-4901-07.
"On moduli of smoothness of functions in Orlicz spaces." Tbilisi Math. J. 12 (3) 121 - 129, July 2019. https://doi.org/10.32513/tbilisi/1569463238