Name
Title | ||
|---|---|---|
Corrigendum to "Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature" |
Abstract | ||
|---|---|---|
Professor Dr. Joachim Stockler has kindly pointed out to us that our proofs (2) of the estimates (4.5) and (4.9) are valid only in the case when we do not require the quadrature weights a to be nonnegative, since the Krein-Rutman extensions of nonnegative functionals are not guaranteed to be norm-preserving. The purpose of this note is to point out that the existence of nonnegative weights a satisfying (4.4) necessarily implies the following analogue (0.1) of (4.5). The existence of such weights was proved in the paper. (Here, and in the sequel, we use all the notation as in the paper.) |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1090/S0025-5718-01-01437-5 | Mathematics of Computation |
Keywords | Field | DocType |
spherical marcinkiewicz-zygmund inequality,positive quadrature,satisfiability | Notation,Mathematical analysis,Pure mathematics,Inequality,Mathematical proof,Quadrature (mathematics),Mathematics | Journal |
Volume | Issue | Citations |
71 | 237 | 7 |
PageRank | References | Authors |
2.36 | 1 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hrushikesh Narhar Mhaskar | 1 | 257 | 61.07 |
| F. J. Narcowich | 2 | 89 | 19.20 |
| J. D. Ward | 3 | 36 | 5.98 |