SZASZ-MIRAKJAN TYPE OPERATORS OF TWO VARIABLES PROVIDING A BETTER ESTIMATION ON [0,1] x [0, 1]
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Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Math Soc Serbia-Drustvo Matematicara Srbije
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper deals with a modification of the classical Szasz-Mirakjan type operators of two variables. It introduces a new sequence of non-polynomial linear operators which hold fixed the polynomials x(2)+ alpha x and y(2) + beta y with alpha, beta is an element of [0, infinity) and we study the convergence properties of the new approximation process. Also, we compare it with Szasz-Mirakjan type operators and show an improvement of the error of convergence in [0, 1] x [0, 1]. Finally, we study statistical convergence of this modification.
Açıklama
Anahtar Kelimeler
Szasz-Mirakjan type operators, A-statistical convergence for double sequences, Korovkin-type approximation theorem, modulus of contiunity
Kaynak
Matematicki Vesnik
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
63
Sayı
1
