Some results of $2\pi$-periodic functions by Fourier sums in the space $L_p(2\pi)$

Document Type : Research Paper


Department of Mathematics, Faculty of Science Ain Chock, University Hassan II, Casablanca, Morocco


In this paper, using the Steklov function, we introduce the generalized continuity modulus and define the class of functions $W_{\rho,\varphi}^{r,k}$  in the space $L_p$. For this class, we prove an analog of the estimates in [1] in the space $L_p$.