Smoothness of functions vs. smoothness of approximation processes

17 Mar 2020 Kolomoitsev Yu. Tikhonov S.

We provide a comprehensive study of interrelations between different measures of smoothness of functions on various domains and smoothness properties of approximation processes. Two general approaches to this problem have been developed: the first based on geometric properties of Banach spaces and the second on Littlewood-Paley and H\"{o}rmander type multiplier theorems... (read more)

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  • CLASSICAL ANALYSIS AND ODES