Approximation by Chlodowsky type Jakimovski-Leviatan operators

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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.259, ss.153-163, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 259
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.cam.2013.04.021
  • Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.153-163
  • Anahtar Kelimeler: Jakimovski-Leviatan operators, Modulus of continuity, Weighted spaces, Rate of convergence, Divided differences
  • Ankara Üniversitesi Adresli: Evet

Özet

We introduce a generalization of the Jakimovski-Leviatan operators constructed by A.Jakimovski and D. Leviatan (1969) in [1] and the theorems on convergence and the degree of convergence are established. We also give a Voronovskaya-type theorem. Furthermore, we study the convergence of these operators in a weighted space of functions on a positive semi-axis and estimate the approximation by using a new type of weighted modulus of continuity introduced by A.D. Gadjiev and A. Aral (2007) in [9]. (C) 2013 Elsevier B.V. All rights reserved.