On moduli of smoothness of functions in Orlicz spaces
S. Z. JafarovIn 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.
Tbilisi Mathematical Journal, Vol. 12(3) (2019), pp. 121-129