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-
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Bivariate Mellin convolution operators: Quantitative approximation theorems
β Scribed by Carlo Bardaro; Ilaria Mantellini
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 249 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0895-7177
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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.