The generalized Baskakov type operators

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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.259, ss.226-232, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 259
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.cam.2013.08.004
  • Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.226-232
  • Anahtar Kelimeler: Baskakov type operators, Finite sum, Linear positive operator, Approximation, CONVERGENCE
  • Ankara Üniversitesi Adresli: Evet

Özet

The use of Baskakov type operators is difficult for numerical calculation because these operators include infinite series. Do the operators expressed as a finite sum provide the approximation properties? Furthermore, are they appropriate for numerical calculation? In this paper, in connection with these questions, we define a new family of linear positive operators including finite sum by using the Baskakov type operators. We also give some numerical results in order to compare Baskakov type operators with this new defined operator. (C) 2013 Elsevier B.V. All rights reserved.