On Approximation Properties of Two Variables of Modified Kantorovich-Type Operators
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Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ankara Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In the present paper, we introduce certain modification of Szasz-Mirakyan-Kantorovich-type operators in polynomial weighted spaces of continuous functions of two variables. Then we research some approximation properties of these operators. We give some inequalities for the operators by means of the weighted modulus of continuity and also obtain a Voronovskaya-type theorem. Furthermore, in the paper we show that our operators give better degree of approximation of functions belonging to weighted spaces than classical Szasz-Mirakyan operators.
Açıklama
Anahtar Kelimeler
Kantorovich-type operators, modulus of continuity, weighted spaces, Voronovskaya-type theorem
Kaynak
Communications Faculty Of Sciences University Of Ankara-Series A1 Mathematics And Statistics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
68
Sayı
1
Künye
Özhavzalı, M. & Olgun, A. (2019). On Approximation Properties of Two Variables of Modified Kantorovich-Type Operators . Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics , 68 (1) , 187-196 .