Заглавие | WEIGHTED APPROXIMATION IN UNIFORM NORM BY MEYER-K¨ONIG AND ZELLER OPERATORS |
Вид публикация | Journal Article |
Година на публикуване | 2017 |
Автори | Gadjev I, Parvanov P |
Списание | Annuaire de l’Universite de Sofia “st. Kliment Ohridski” Faculte de Mathematiques et Informatique |
Том | 104 |
Pagination | 77-87 |
ISSN | 0205-0808 |
ключови думи | direct theorem, K-functional, Meyer-K¨onig and Zeller operator, strong converse theorem, weighted approximation. |
Резюме | 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 |
Прикачен файл | Размер |
---|---|
104-077-087.pdf | 139.54 KB |