Products of parametric extensions: refined estimates
We present point wise estimates on approximation by bounded linear operators of real-valued continuous functions defined on the cartesian product of d compact intervals. The main purpose is to provide a unified theory to deal with pointwise estimates on approximation processes of the above type whic...
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| Published in: | Journal of numerical analysis and approximation theory Vol. 54; no. 1; pp. 74 - 88 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
Publishing House of the Romanian Academy
30.06.2025
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| Subjects: | |
| ISSN: | 2457-6794, 2501-059X |
| Online Access: | Get full text |
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| Summary: | We present point wise estimates on approximation by bounded linear operators of real-valued continuous functions defined on the cartesian product of d compact intervals. The main purpose is to provide a unified theory to deal with pointwise estimates on approximation processes of the above type which are generated by the tensor product method. This will constitute an extension and a refinement of earlier work of Haussmann and Pottinger. As an example a new estimate for approximation by multivariate positive linear operators is given. |
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| ISSN: | 2457-6794 2501-059X |
| DOI: | 10.33993/jnaat541-1542 |