Abstract
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.
Funding Statement
This work was supported by Scientific Research Projects Cordination Unit of Muş Alparslan University. Project No: BAP-18-EMF-4901-07.
Citation
Sadulla Z. Jafarov. "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
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