A KOROVKIN-TYPE RESULT IN C^k AN APPLICATION TO THE M_n OPERATORS
A KOROVKIN-TYPE RESULT IN C^k AN APPLICATION TO THE M_n OPERATORS
摘要
In this work we present a result about the approximation of the k-th derivative of a function by means of a linear operator under assumptions related to shape preserving properties. As a consequence we deduce new results about the Meyer-K?nig and Zeller operators.
In this work we present a result about the approximation of the k-th derivative of a function by means of a linear operator under assumptions related to shape preserving properties. As a consequence we deduce new results about the Meyer-K?nig and Zeller operators.
基金
Junta de Andalucía
Grupo de Investigación Approximacióny Métodos Numéricos
código FQM 0 1 78.
参考文献4
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1Heinz H. Gonska.Quantitative Korovkin type theorems on simultaneous approximation[J].Mathematische Zeitschrift.1984(3)
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2Hans-Bernd Knoop,Peter Pottinger.Ein Satz vom Korovkin-Typ fürC k -R?ume[J].Mathematische Zeitschrift.1976(1)
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3A. Lupa?,M. W. Müller.Approximation properties of theM n -operators[J].Aequationes Mathematicae.1970(1)
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4DeVore,R. A.The Approximation of Continuous Functions by Positive Linear Operators,Lecture Notes in Mathematics, 293[]..1972
