ON APPROXIMATION OF BASKAKOV-DURRMEYER TYPE OPERATORS OF TWO VARIABLES

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Atıf İçin Kopyala

YÜKSEL İ., DİNLEMEZ KANTAR Ü., ALTIN B.

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, cilt.78, sa.1, ss.123-134, 2016 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 78 Sayı: 1
• Basım Tarihi: 2016
• Dergi Adı: UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.123-134
• Gazi Üniversitesi Adresli: Evet

Özet

In this study, we have constructed a sequence of positive linear operators with two variables by using Baskakov-Durrmeyer type operators. We study approximation these operators and give a Voronovskaja type theorem. Furthermore, we study of the linear positive operators in a weighted space of functions of two variables and find the rate of these convergence using weighted modulus of continuity.