Korovkin type approximation theorems in B-statistical sense
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Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, using the concept of B-statistical convergence for sequence of infinite matrices B = (B-i) with B-i = (b(nk)(i)) we investigate various approximation results concerning the classical Korovkin theorem. Then we present two examples of sequences of positive linear operators. The first one shows that the statistical Korovkin type theorem does not work but our approximation theorem works. The second one gives that our approximation theorem does not work but the statistical Korovkin type theorem works. Also, we study the rates of B-statistical convergence of approximating positive linear operators and give a Voronovskaya-type theorem. (C) 2009 Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
B-statistical convergence of sequence, Korovkin-type approximation theorem, Bernstein polynomials, Modulus of continuity, Voronovskaya-type theorem
Kaynak
Mathematical and Computer Modelling
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
Cilt
49
Sayı
9-10
