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

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.

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Publication Details

Journal
Mathematical Notes
Published
2024-12-01
DOI
https://doi.org/10.1134/s0001434624110129
Primary Topic
Mathematical Approximation and Integration
Type
article
Field-Weighted Citation Impact
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article

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

М. Г. Плотников, Alisa Dmitrievna Kashina
Mathematical Notes
Mathematical Approximation and Integration
article

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

М. Г. Плотников, Alisa Dmitrievna Kashina
article en

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.

Mathematical NotesVol. 116(5-6)
Lomonosov Moscow State University (RU), Moscow Center For Continuous Mathematical Education (RU)
Openalex Percentile: Top 59%
Mathematical Approximation and Integration
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