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

TitleWeighted approximation by Kanotrovich type modification of Meyer-König and Zeller operator
Publication TypeJournal Article
Year of Publication2018
AuthorsGadjev I, Parvanov P, Uluchev R
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume105
Start Page75
Pagination75-95
ISSN1313-9215 (Print), ISSN 2603-5529 (Online)
Keywordsdirect 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.

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

41A36, 41A25, 41A17

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