APPROXIMATION PROPERTIES OF BASKAKOV-BALAZS TYPE OPERATORS FOR FUNCTIONS OF TWO VARIABLES

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ATAKUT Ç., BÜYÜKYAZICI İ., KIRCI SERENBAY S.

MISKOLC MATHEMATICAL NOTES, cilt.16, sa.2, ss.667-678, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.18514/mmn.2015.1149
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.667-678
  • Anahtar Kelimeler: Szasz-Mirakjan operator, Balazs operator, Baskakov type operator, degree of approximation, Voronovskaya type theorem
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we study Baskakov type positive operators in polynomial weighted spaces of functions of two variables. We obtain some well known operators by using our operators which are special cases of them. We give theorems on approximation, on the degrees of approximations of functions and the Vornovskaya type theorem for these operators. Finally, we present an open problem concerning the q analogue of these operators.