Moduli of smoothness of functions and their derivatives
Volume 180 / 2007
Studia Mathematica 180 (2007), 143-160
MSC: 26D10, 41A27, 41A28.
DOI: 10.4064/sm180-2-4
Abstract
Relations between moduli of smoothness of the derivatives of a function and those of the function itself are investigated. The results are for $L_p(T)$ and $L_p[-1,1]$ for $0< p< \infty $ using the moduli of smoothness $\omega ^r(f,t)_p$ and $\omega ^r_\varphi (f,t)_p$ respectively.
