Statistical approximation to Bögel-type continuous and periodic functions

• Autorzy: Fadime Dirik , Oktay Duman , Kamil Demirci
• Języki publikacji: EN

Abstrakty

EN

In this paper, considering A-statistical convergence instead of Pringsheim’s sense for double sequences, we prove a Korovkin-type approximation theorem for sequences of positive linear operators defined on the space of all real valued Bögel-type continuous and periodic functions on the whole real two-dimensional space. A strong application is also presented. Furthermore, we obtain some rates of A-statistical convergence in our approximation.

Słowa kluczowe

EN

The Korovkin theorem; B-continuous functions; B-2π-periodic functions; A-statistical convergence for double sequences; Regularity for double sequences

Kategorie tematyczne

• 41A36: Approximation by positive operators
• 41A25: Rate of convergence, degree of approximation

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2009
• Tom: 7
• Numer: 3
• Strony: 539-549

Daty

wydano

2009-09-01

online

2009-08-12

Twórcy

autor

Fadime Dirik

• Sinop University,

autor

Oktay Duman

• TOBB Economics and Technology University,

autor

Kamil Demirci

• Sinop University,

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-009-0025-4