Moduli of smoothness of functions and their derivatives

Z. Ditzian, and S. Tikhonov. "Moduli of smoothness of functions and their derivatives." Studia Mathematica 180.2 (2007): 143-160. <http://eudml.org/doc/285108>.

@article{Z2007,
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 < ∞ using the moduli of smoothness $ω^\{r\}(f,t)_\{p\}$ and $ω^\{r\}_\{φ\}(f,t)_\{p\}$ respectively.},
author = {Z. Ditzian, S. Tikhonov},
journal = {Studia Mathematica},
keywords = {moduli of smoothness; sharp Marchaud inequality; inverse results},
language = {eng},
number = {2},
pages = {143-160},
title = {Moduli of smoothness of functions and their derivatives},
url = {http://eudml.org/doc/285108},
volume = {180},
year = {2007},
}

TY - JOUR
AU - Z. Ditzian
AU - S. Tikhonov
TI - Moduli of smoothness of functions and their derivatives
JO - Studia Mathematica
PY - 2007
VL - 180
IS - 2
SP - 143
EP - 160
AB - 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 < ∞ using the moduli of smoothness $ω^{r}(f,t)_{p}$ and $ω^{r}_{φ}(f,t)_{p}$ respectively.
LA - eng
KW - moduli of smoothness; sharp Marchaud inequality; inverse results
UR - http://eudml.org/doc/285108
ER -