Sáasz-Mirakjan type operators of two variables providing a better estimation on [0,1] × [0,1]
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Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper deals with a modification of the classical Sz ́asz-Mirakjan type operators of two variables. It introduces a new sequence of non-polynomial linear operators which hold fixed the polynomials x2+αx and y2+βy with αβε[0,∞) and we study the convergence properties of the new approximation process. Also, we compare it with Sz ́asz-Mirakjan type operators and show an improvement of the error of convergence in [0,1] × [0,1]. Finally, we study statistical convergence of this modification.
Açıklama
Anahtar Kelimeler
A-statistical convergence for double sequences, Korovkin-type approximation theorem, Modulus of contiunity, Sáasz-Mirakjan type operators
Kaynak
Matematicki Vesnik
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
63
Sayı
1
