High-order approximation by multivariate shift-invariant convolution type operators
Abstract
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. © 2004 Elsevier Ltd. All rights reserved.
Publication Title
Computers and Mathematics with Applications
Recommended Citation
Anastassiou, G. (2004). High-order approximation by multivariate shift-invariant convolution type operators. Computers and Mathematics with Applications, 48 (9), 1245-1261. https://doi.org/10.1016/j.camwa.2004.10.019
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