Author:
Tikhonov Sergey,Trebels Walter
Abstract
We study (p, q)-inequalities of Ulyanov type for moduli of smoothness of fractional order in the Lp$(\mathbb{T})$ and the Lp(ℝn) setting, p ≥ 1. In particular, we obtain estimates for the modulus of smoothness of a generalized Liouville derivative of a function via the modulus of smoothness of the function itself. We give examples showing the sharpness of these inequalities.
Publisher
Cambridge University Press (CUP)
Cited by
13 articles.
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