Pointwise convergence of the Bernstein–Durrmeyer operators with respect to a collection of measures
| Autor: | Margareta Heilmann, Elena E. Berdysheva, Katharina Hennings |
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| Rok vydání: | 2020 |
| Předmět: |
Pointwise convergence
Numerical Analysis Generalization Applied Mathematics General Mathematics 010102 general mathematics 010103 numerical & computational mathematics Function (mathematics) Type (model theory) 01 natural sciences Term (time) Operator (computer programming) Applied mathematics Point (geometry) 0101 mathematics Analysis Mathematics |
| Zdroj: | Journal of Approximation Theory. 251:105339 |
| ISSN: | 0021-9045 |
| DOI: | 10.1016/j.jat.2019.105339 |
| Popis: | In this paper we consider a generalization of the Bernstein-Durrmeyer operator where the integrals are taken with respect to measures that may vary from term to term. This construction is more general than the one considered by the first named author and her coauthors earlier, and it includes a number of well-known operators of Bernstein type as particular cases. We give conditions on the collections of measures that guarantee pointwise convergence at a point of continuity of a function. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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