Weighted approximation by Kanotrovich type modification of Meyer-König and Zeller operator

ЗаглавиеWeighted approximation by Kanotrovich type modification of Meyer-König and Zeller operator
Вид публикацияJournal Article
Година на публикуване2018
АвториGadjev I, Parvanov P, Uluchev R
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том105
Start Page75
Pagination75-95
ISSN1313-9215 (Print), ISSN 2603-5529 (Online)
ключови думиdirect theorem, K-functional, Meyer-König and Zeller operator, moduli of smoothness
Резюме

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.

DOI10.60063/GSU.FMI.105.75-95
2010 MSC

41A36, 41A25, 41A17

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