Absolute widths of some embeddings

Research output: Contribution to journalArticlepeer-review


The absolute widths of the natural identity operator Inpq, mapping lnp to lnq, for 1 ≤ q ≤ p ≤ ∞, are considered. The main result of this workis the following:THEOREM 1. If 1 ≤ q ≤ p ≤ ∞, 0 ≤ m ≤ n, dam(Inpq) = (n - m)1/q-1/q, wheredam(u) stands for the absolute width of the operator u.

Original languageEnglish (US)
Pages (from-to)120-126
Number of pages7
JournalJournal of Approximation Theory
Issue number1
StatePublished - Apr 1995
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Mathematics(all)
  • Applied Mathematics


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