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Notes about s‐numbers for a Sobolev type embedding of order 4 and for a higher order integral operator

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  • Petr Gurka
  • Jan Lang

Abstract

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.

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  • Petr Gurka & Jan Lang, 2021. "Notes about s‐numbers for a Sobolev type embedding of order 4 and for a higher order integral operator," Mathematische Nachrichten, Wiley Blackwell, vol. 294(4), pages 731-747, April.
    • Handle: RePEc:bla:mathna:v:294:y:2021:i:4:p:731-747
    DOI: 10.1002/mana.202000206
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