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Zbl 1216.40003
Mursaleen, M.; Alotaibi, A.
Statistical summability and approximation by de la Vallée-Poussin mean. (English)
[J] Appl. Math. Lett. 24, No. 3, 320-324 (2011); corrigendum ibid. 25, No. 3, 665 (2012). ISSN 0893-9659

The authors introduce two concepts of statistical $\lambda$-convergence and strongly $\lambda _{q}$-convergence $(0<q<\infty)$ and give some relations between $\lambda$-statistical convergence and these newly defined concepts. They also prove a Korovkin type approximation theorem by using the newly defined summability method.
[\D{I}brahim Çanak (\D{I}zmir)]

MSC 2000:: *40A35
41A36 Approximation by positive operators
47A58 Operator approximation theory

Keywords: statistical convergence; density; $\lambda $-density; $\lambda $-statistical convergence; statistical $\lambda $-convergence; approximation theorem

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Zentralblatt MATH Berlin [Germany]