𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Bivariate Mellin convolution operators: Quantitative approximation theorems

✍ Scribed by Carlo Bardaro; Ilaria Mantellini


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
249 KB
Volume
53
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Quantitative Approximation Theorems for
✍ Thomas Bagby; Len Bos; Norman Levenberg πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 632 KB

Let L(D) be an elliptic linear partial differential operator with constant coefficients and only highest order terms. For compact sets K/R N whose complements are John domains we prove a quantitative Runge theorem: if a function f satisfies L(D) f=0 on a fixed neighborhood of K, we estimate the sup-

A note on the Voronovskaja theorem for M
✍ Carlo Bardaro; Ilaria Mantellini πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 209 KB

Here, using Mellin derivatives and a different notion of moment, we state a Voronovskaja approximation formula for a class of Mellin-Fejer type convolution operators. This new approach gives direct and simple applications to various important specific examples.