Korovkin-type theorems and applications

• Autorzy: Nazim Mahmudov
• Języki publikacji: EN

Abstrakty

EN

Let {T n} be a sequence of linear operators on C[0,1], satisfying that {T n (e i)} converge in C[0,1] (not necessarily to e i) for i = 0,1,2, where e i = t i. We prove Korovkin-type theorem and give quantitative results on C 2[0,1] and C[0,1] for such sequences. Furthermore, we define King’s type q-Bernstein operator and give quantitative results for the approximation properties of such operators.

Słowa kluczowe

EN

Korovkin approximation; Positive operator; q-Bernstein operators; King’s type q-Bernstein operator; q-operators

Kategorie tematyczne

• 47B65: Positive operators and order-bounded operators
• 41A36: Approximation by positive operators

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2009
• Tom: 7
• Numer: 2
• Strony: 348-356

Daty

wydano

2009-06-01

online

2009-05-24

Twórcy

autor

Nazim Mahmudov

• Department of Mathematics, Eastern Mediterranean University, Gazimagusa, Turkey

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-009-0006-7