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

Authors

DOI:

https://doi.org/10.60063/gsu.fmi.105.75-95

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.

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Published

2018-12-12

How to Cite

Gadjev, I., Parvanov, P., & Uluchev, R. (2018). Weighted approximation by Kanotrovich type modification of Meyer-König and Zeller operator. Ann. Sofia Univ. Fac. Math. And Inf., 105, 75–95. https://doi.org/10.60063/gsu.fmi.105.75-95

Issue

Vol. 105 (2018): Ann. Sofia Univ. Fac. Math and Inf.

Section

Articles