APPROXIMATION BY A GENERALIZED SZASZ TYPE OPERATOR FOR FUNCTIONS OF TWO VARIABLES
MISKOLC MATHEMATICAL NOTES, cilt.15, sa.2, ss.345-359, 2014 (SCI-Expanded, Scopus)
- 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.