| Title | Weighted approximation by Kanotrovich type modification of Meyer-König and Zeller operator |
| Publication Type | Journal Article |
| Year of Publication | 2018 |
| Authors | Gadjev I, Parvanov P, Uluchev R |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 105 |
| Start Page | 75 |
| Pagination | 75-95 |
| ISSN | 1313-9215 (Print), ISSN 2603-5529 (Online) |
| Keywords | direct theorem, K-functional, Meyer-König and Zeller operator, moduli of smoothness |
| Abstract | We investigate the weighted approximation of functions in $L_p$-norm by Kantorovich modifications of the classical Meyer-König and Zeller operator, with weights of type $(1-x)^\alpha, \alpha \in \mathbb{R}$. By defining an appropriate K-functional we prove direct theorems for them. |
| 2010 MSC | 41A36, 41A25, 41A17 |
| Attachment | Size |
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 105-075-095.pdf | 337.36 KB |