Local approximation properties of certain class of linear positive operators via I-convergence

• Autorzy: Mehmet Özarslan , Hüseyin Aktuǧlu
• Języki publikacji: EN

Abstrakty

EN

In this study, we obtain a local approximation theorems for a certain family of positive linear operators via I-convergence by using the first and the second modulus of continuities and the elements of Lipschitz class functions. We also give an example to show that the classical Korovkin Theory does not work but the theory works in I-convergence sense.

Słowa kluczowe

EN

A-statistical convergence; I-convergence; modulus of continuity; local smoothness

Kategorie tematyczne

• 41A36: Approximation by positive operators
• 41A10: Approximation by polynomials
• 40A25: Approximation to limiting values (summation of series, etc.)
• 41A25: Rate of convergence, degree of approximation

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2008
• Tom: 6
• Numer: 2
• Strony: 281-286

Daty

wydano

2008-06-01

online

2008-04-15

Twórcy

autor

Mehmet Özarslan

• Eastern Mediterranean University

autor

Hüseyin Aktuǧlu

• Eastern Mediterranean University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-008-0125-6