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On approximation of continuously differentiable functions by positive linear operators

Published online by Cambridge University Press:  17 April 2009

Heinz H. Gonska
Heinz H. Gonska
Affiliation:
Rensselaer Polytechnic Institute, Department of Mathematical Sciences, Troy, New York, USA 12181 and University of Duisburg, Department of Mathematics, D-4100 Duisburg 1, West Germany.
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Abstract

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The aim of this note is to prove a theorem on the pointwise degree of approximation of continuously differentiable functions by positive linear operators. As can be seen from the applications to Bernstein and Hermite-Fejér operators, our inequality yields better constants and sometimes even a higher degree of approximation than the known general results.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 27 , Issue 1 , February 1983 , pp. 73 - 81
Copyright
Copyright © Australian Mathematical Society 1983

References

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