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

نویسندگان
El Hamma, M. ID 1
Daher, R. ID 2

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

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

doi
10.22075/ijnaa.2013.26
چکیده

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 $L_p$.

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