Abstract
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 language | English (US) |
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Pages (from-to) | 120-126 |
Number of pages | 7 |
Journal | Journal of Approximation Theory |
Volume | 81 |
Issue number | 1 |
DOIs | |
State | Published - Apr 1995 |
Externally published | Yes |
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- General Mathematics
- Applied Mathematics