Statistical σ-convergence of positive linear operators
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Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Mursaleen and Edely [M. Mursaleen and O.H.H Edely, On invariant mean and statistical convergence, Appl. Math. Lett. (2009) doi:10.1016/j.aml.2009.06.005] have recently introduced the notion of statistical sigma-convergence. In this paper, we study its use in the Korovkin-type approximation theorem. Then, we construct an example such that our new result works but its classical and statistical cases do not work. We also compute the rates of statistical sigma-convergence of a sequence of positive linear operators. (c) 2010 Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
Statistical sigma-convergence, Statistical convergence, Positive linear operator, Korovkin-type approximation theorem, Bernstein polynomials
Kaynak
Applied Mathematics Letters
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
24
Sayı
3
