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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| Vydáno v: | Journal of approximation theory Ročník 94; číslo 3; s. 396 - 419 |
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| Hlavní autor: | |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Elsevier Inc
01.09.1998
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| ISSN: | 0021-9045, 1096-0430 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | 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 |