Korovkin-Type Theorems in Weighted Lp-Spaces via Summation Process
Korovkin-type theorem which is one of the fundamental methods in approximation theory to describe uniform convergence of any sequence of positive linear operators is discussed on weighted Lp spaces, 1≤p<∞ for univariate and multivariate functions, respectively. Furthermore, we obtain these types...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/534054 |
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| Summary: | Korovkin-type theorem which is one of the fundamental methods in
approximation theory to describe uniform convergence of any sequence of
positive linear operators is discussed on weighted Lp spaces, 1≤p<∞ for univariate and multivariate functions, respectively.
Furthermore, we obtain these types of approximation theorems by means of 𝒜-summability which is a stronger convergence method than
ordinary convergence. |
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| ISSN: | 1537-744X |