Approximation Properties of King Type -Bernstein Operators


Dalmanoglu O., ÖRKCÜ M.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, cilt.43, ss.249-254, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s40995-017-0434-3
  • Dergi Adı: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
  • Sayfa Sayıları: ss.249-254

Özet

The present paper deals mainly with a King type modification of -Bernstein operators. By improving the conditions given in Mursaleen et al. (On (p, q)-analogue of Bernstein operators. Appl Math Comput 266:874-882, 2015a), we investigate the Korovkin type approximation of both -Bernstein and King type -Bernstein operators. We also prove that the error estimation of King type of the operator is better than that of the classical one whenever 0 <= x <= 1/3.