On approximation of continuously differentiable functions by positive linear operators
- 1 February 1983
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 27 (1) , 73-81
- https://doi.org/10.1017/s0004972700011497
Abstract
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.Keywords
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