Approximation by a generalized Szász 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: Jakimovski-leviatan operator, Linear positive operator, Modulus of continuity, Rate of convergence, Weighted space
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet
Özet
In the present paper, we define a new Szász-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.