Local and Global Approximation Theorems for Positive Linear Operators
In this paper we bridge local and global approximation theorems for positive linear operators via Ditzian–Totik moduliω2φ(f,δ) of second order whereby the step-weightsφare functions whose squares are concave. Both direct and converse theorems are derived. In particular we investigate the situation f...
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| Published in: | Journal of approximation theory Vol. 94; no. 3; pp. 396 - 419 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier Inc
01.09.1998
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| ISSN: | 0021-9045, 1096-0430 |
| Online Access: | Get full text |
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| Summary: | In this paper we bridge local and global approximation theorems for positive linear operators via Ditzian–Totik moduliω2φ(f,δ) of second order whereby the step-weightsφare functions whose squares are concave. Both direct and converse theorems are derived. In particular we investigate the situation for exponential-type and Bernstein-type operators. |
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| ISSN: | 0021-9045 1096-0430 |
| DOI: | 10.1006/jath.1998.3212 |