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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| Vydané v: | Journal of numerical analysis and approximation theory Ročník 54; číslo 1; s. 74 - 88 |
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| Hlavný autor: | |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Publishing House of the Romanian Academy
30.06.2025
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| Predmet: | |
| ISSN: | 2457-6794, 2501-059X |
| On-line prístup: | Získať plný text |
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| Shrnutí: | 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 |