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First order absolute moment of Meyer-König and Zeller operators and their approximation for some absolutely continuous functions

In: Mathematica Slovaca, vol. 61, no. 4
X. M. Zeng - Fuhua (frank) Cheng

Details:

Year, pages: 2011, 635 - 644
Keywords:
absolute moment, Meyer-König and Zeller operators, approximation, absolutely continuous functions
About article:
A sharp estimate is given for the first order absolute moment of Meyer-König and Zeller operators $M_{n}$. This estimate is then used to prove convergence of approximation of a class of absolutely continuous functions by the operators $M_{n}$. The condition considered here is weaker than the condition considered in a previous paper and the rate of convergence we obtain is asymptotically the best possible.
How to cite:
ISO 690:
Zeng, X., Cheng, F. 2011. First order absolute moment of Meyer-König and Zeller operators and their approximation for some absolutely continuous functions. In Mathematica Slovaca, vol. 61, no.4, pp. 635-644. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0033-2

APA:
Zeng, X., Cheng, F. (2011). First order absolute moment of Meyer-König and Zeller operators and their approximation for some absolutely continuous functions. Mathematica Slovaca, 61(4), 635-644. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0033-2
About edition: