Title | WEIGHTED APPROXIMATION IN UNIFORM NORM BY MEYER-K¨ONIG AND ZELLER OPERATORS |
Publication Type | Journal Article |
Year of Publication | 2017 |
Authors | Gadjev I, Parvanov P |
Journal | Annuaire de l’Universite de Sofia “st. Kliment Ohridski” Faculte de Mathematiques et Informatique |
Volume | 104 |
Pagination | 77-87 |
ISSN | 0205-0808 |
Keywords | direct theorem, K-functional, Meyer-K¨onig and Zeller operator, strong converse theorem, weighted approximation. |
Abstract | The weighted approximation errors of $Meyer-K\ddot{o}nig$ and $Zeller$ operator is characterized for weights of the form $w(x) = x^{\gamma_0}(1 − x)^{\gamma_1} $, where $\gamma_0 \in [−1, 0], \gamma_1 \in \mathbb{R}$. Direct inequalities and strong converse inequalities of type A are proved in terms of the weighted $K$-functional. |
2000 MSC | 41A36, 41A25, 41A27, 41A17 |
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104-077-087.pdf | 139.54 KB |