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 $L_p$.
El Hamma, M. & Daher, R. (2013). Some results of $2\pi$-periodic functions by Fourier sums in the space $L_p(2\pi)$. International Journal of Nonlinear Analysis and Applications, 4(1), 55–58. https://doi.org/10.22075/ijnaa.2013.26
MLA
El Hamma, M., & Daher, R. "Some results of $2\pi$-periodic functions by Fourier sums in the space $L_p(2\pi)$", International Journal of Nonlinear Analysis and Applications, 4, 1, 2013, 55–58. doi: 10.22075/ijnaa.2013.26
HARVARD
El Hamma, M., & Daher, R. (2013). 'Some results of $2\pi$-periodic functions by Fourier sums in the space $L_p(2\pi)$', International Journal of Nonlinear Analysis and Applications, 4(1), pp. 55–58. doi: 10.22075/ijnaa.2013.26
CHICAGO
El Hamma, M. & Daher, R., "Some results of $2\pi$-periodic functions by Fourier sums in the space $L_p(2\pi)$." International Journal of Nonlinear Analysis and Applications, 4 1 (2013): 55–58, doi: 10.22075/ijnaa.2013.26
VANCOUVER
El Hamma M., Daher R. Some results of $2\pi$-periodic functions by Fourier sums in the space $L_p(2\pi)$. IJNAA. 2013;4(1):55–58. doi: 10.22075/ijnaa.2013.26
International Journal of Nonlinear Analysis and Applications