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First order absolute moment of Meyer-König and Zeller operators and their approximation for some absolutely continuous functions
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 con...
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Published in: | Mathematica Slovaca 2011-08, Vol.61 (4), p.635-644 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | 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. |
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ISSN: | 0139-9918 1337-2211 |
DOI: | 10.2478/s12175-011-0033-2 |