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On a Korovkin-type theorem for simultaneous approximation

✍ Scribed by C Badea

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
571 KB
Volume
62
Category
Article
ISSN
0021-9045

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πŸ“œ SIMILAR VOLUMES

Qualitative Korovkin-Type Results on Con
Qualitative Korovkin-Type Results on Conservative Approximation
✍ F.J. MuΓ±oz-Delgado; V. RamΔ±́rez-GonzΓ‘lez; D. CΓ‘rdenas-Morales πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 299 KB

In this paper, we present a generalization of the classical Korovkin theorem on positive linear operators. We deduce some convergence results for linear operators defined on C k [0, 1], that preserve some cones of functions related to shape properties. Finally, we show some examples.

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In this paper we study sequences of linear operators which are "almost positive" outside sets of small Jordan measure. For them, we prove Korovkin-type theorems in terms of a modification of the \(R\)-convergence used previously by \(\mathrm{W}\). Dickmeis, H. Mevissen, R. J. Nessel, and E. Van Wick