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Notes about s ‐numbers for a Sobolev type embedding of order 4 and for a higher order integral operator
Author(s) -
Gurka Petr,
Lang Jan
Publication year - 2021
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.202000206
Subject(s) - mathematics , sobolev space , embedding , order (exchange) , type (biology) , operator (biology) , focus (optics) , interval (graph theory) , sobolev inequality , order type , pure mathematics , mathematical analysis , combinatorics , ecology , biochemistry , chemistry , physics , finance , repressor , artificial intelligence , computer science , transcription factor , gene , optics , economics , biology
The main focus of this paper is on study of s ‐numbers for a higher order Sobolev embedding on an interval and also for the corresponding Hardy‐type operator. Upper and lower estimates for approximation and Bernstein numbers are described and their relations with results for lower order Sobolev embeddings are discussed.