✦ LIBER ✦
High-order approximation by multivariate shift-invariant convolution type operators
✍ Scribed by G.A. Anastassiou
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 662 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
High order differential functions of several variables are approximated by multivariate shift-invariant convolution type operators and their generalizations. The high order of this approximation is determined by giving some multivariate Jackson-type inequalities, engaging the first multivariate usual modulus of continuity of the Nth-order partial derivatives of the multivariate function under approximation.