Approximation of functions of two variables by certain linear positive operators

Creative Commons License

Tasdelen F., Olgun A., BAŞCANBAZ TUNCA G.

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, cilt.117, sa.3, ss.387-399, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 117 Sayı: 3
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1007/s12044-007-0033-x
  • Dergi Adı: PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.387-399
  • Anahtar Kelimeler: linear positive operator, modulus of continuity, order of approximation, polynomial weighted spaces, SZASZ-MIRAKJAN
  • Ankara Üniversitesi Adresli: Evet

Özet

We introduce certain linear positive operators and study some approximation properties of these operators in the space of functions, continuous on a compact set, of two variables. We also find the order of this approximation by using modulus of continuity. Moreover we define an rth order generalization of these operators and observe its approximation properties. Furthermore, we study the convergence of the linear positive operators in a weighted space of functions of two variables and find the rate of this convergence using weighted modulus of continuity.