On Approximation Properties of Two Variables of Modified Kantorovich-Type Operators

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Küçük Resim

Tarih

2019

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 .