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

Document Type : Research Paper

Authors
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

  • Receive Date 15 May 2012
  • Revise Date 09 January 2013
  • Accept Date 15 January 2013

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