No CrossRef data available.
Article contents
Global smoothness preservation by multivariate singular integrals
Published online by Cambridge University Press: 17 April 2009
Abstract
By using various kinds of moduli of smoothness, it is established that the multivariate variants of the well-known singular integrals of Picard, Poisson-Cauchy, Gauss-Weierstrass and their Jackson-type generalisations satisfy the “global smoothness preservation” property. The results are extensions of those proved by the authors for the univariate case.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 2000