APPROXIMATION BY A GENERALIZED SZASZ TYPE OPERATOR FOR FUNCTIONS OF TWO VARIABLES

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Cetin N., KIRCI SERENBAY S., ATAKUT Ç.

MISKOLC MATHEMATICAL NOTES, cilt.15, sa.2, ss.345-359, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 2
  • Basım Tarihi: 2014
  • Doi Numarası: 10.18514/mmn.2014.666
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.345-359
  • Anahtar Kelimeler: linear positive operator, Jakimovski-Leviatan operator, weighted space, modulus of continuity, rate of convergence, MIRAKJAN OPERATORS
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Ankara Üniversitesi Adresli: Evet

Özet

In the present paper, we define a new Szasz-Mirakjan type operator in exponential weighted spaces for functions of two variables having exponential growth at infinity using a method given by Jakimovski-Leviatan. This operator is a generalization of two variables of an operator defined by A. Ciupa [1]. In this study, we investigate approximation properties and also estimate the rate of convergence for this new operator.