Linear operators that preserve some test functions
The paper centers around a pair of sequences of linear positive operators. The former has the degree of exactness one and the latter has its degree of exactness null, but, as a novelty, it reproduces the third test function of Korovkin theorem. Quantitative estimates of the rate of convergence are g...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/94136 |
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| Summary: | The paper centers around a pair of sequences of linear positive
operators. The former has the degree of exactness one and the
latter has its degree of exactness null, but, as a novelty, it
reproduces the third test function of Korovkin theorem.
Quantitative estimates of the rate of convergence are given in
different function spaces traveling from classical approximation
to approximation in abstract spaces. Particular classes are also
studied. |
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| ISSN: | 0161-1712 1687-0425 |