Statistical Korovkin-type theorem for monotone and sublinear operators

"In this paper we generalize the result on statistical uniform convergence in the Korovkin theorem for positive and linear operators in C([a; b]), to the more general case of monotone and sublinear operators. Our result is illustrated by concrete examples."

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Veröffentlicht in:Studia Universitatis Babeș-Bolyai. Mathematica 2023-01, Vol.68 (2), p.399-408
1. Verfasser: Iancu, Ionut T.
Format: Artikel
Sprache:eng
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Beschreibung
Zusammenfassung:"In this paper we generalize the result on statistical uniform convergence in the Korovkin theorem for positive and linear operators in C([a; b]), to the more general case of monotone and sublinear operators. Our result is illustrated by concrete examples."
ISSN:0252-1938
2065-961X
DOI:10.24193/subbmath.2023.2.14