科研之友
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摘要
We study (p, q)-inequalities of Ulyanov type for moduli of smoothness of fractional order in the L(p)(T) and the L(p)(R(n)) setting, p >= 1. In particular, we obtain estimates for the modulus of smoothness of a generalized Lionville derivative of a function via the modulus of smoothness of the function itself. We give examples showing the sharpness of these inequalities.
- 出版日期2011
