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The complete asymptotic expansionfor a general Durrmeyer variant of the Meyer-König and Zeller operators - MaRDI portal

The complete asymptotic expansionfor a general Durrmeyer variant of the Meyer-König and Zeller operators (Q557146)

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scientific article; zbMATH DE number 2182178
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English
The complete asymptotic expansionfor a general Durrmeyer variant of the Meyer-König and Zeller operators
scientific article; zbMATH DE number 2182178

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    The complete asymptotic expansionfor a general Durrmeyer variant of the Meyer-König and Zeller operators (English)
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    23 June 2005
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    The paper is devoted to study a general Durrmeyer type of the Meyer-König and Zeller operators as particular cases,the operators introduced by the authors contain the MKZ-Durrmeyer operators,the Chen-Durrmeyer operators,the Guo-Durrmeyer operators and the Gupta-Durrmeyer operators. The authors investigate the asymptotic behaviour of the operators introduced.as main result, they derived the complete asymptotic expansion for the general Durrmeyer-Meyer-König-Zeller operators by means of reciprocal factorials.As consequence, a Woronowskaya-type formula is obtained.
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    Durrmeyer operator
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    Meyer-König operator
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    Zeller operator
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