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Reconstruction of Functions in Sobolev- and Korobov-Type \(p\)-Ary Classes with Small Smoothness Parameters

  • A. D. Kashina,
  • M. G. Plotnikov

摘要

Abstract

The problems of exact and approximate reconstruction of integrable functions from their values on a set of small measure are considered. The classes of functions under consideration are the \(p\) -ary counterparts of the Sobolev and Korobov classes with small smoothness parameters.