Document Type : Research Paper

Authors

• M. El Hamma
• R. Daher

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

Abstract

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 $L_p$.

Keywords

• $2\pi$-periodic function
• approximation by Fourier sums
• Steklov function