Voronovskaya type results and operators fixing two functions
| Autor: | Ana Maria Acu, Alexandra-Ioana Măduţa, Ioan Rasa |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Mathematical Modelling and Analysis, Vol 26, Iss 3, Pp 395-410 (2021) |
| Druh dokumentu: | article |
| ISSN: | 1392-6292 1648-3510 |
| DOI: | 10.3846/mma.2021.13228 |
| Popis: | The present paper deals with positive linear operators which fix two functions. The transfer of a given sequence (Ln) of positive linear operators to a new sequence (Kn) is investigated. A general procedure to construct sequences of positive linear operators fixing two functions which form an Extended Complete Chebyshev system is described. The Voronovskaya type formula corresponding to the new sequence which is strongly influenced by the nature of the fixed functions is obtained. In the last section our results are compared with other results existing in literature. |
| Databáze: | Directory of Open Access Journals |
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