Smoothness of functions versus smoothness of approximation processes

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 t...

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Bibliographic Details
Main Authors: Yu. S. Kolomoitsev, S. Yu. Tikhonov
Format: Article
Language:English
Published: World Scientific Publishing 2020-12-01
Series:Bulletin of Mathematical Sciences
Subjects:
Online Access:http://www.worldscientific.com/doi/epdf/10.1142/S1664360720300029