Approximation by complex genuine hybrid operators

Gupta V., SOYBAŞ D.

APPLIED MATHEMATICS AND COMPUTATION, cilt.244, ss.526-532, 2014 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 244
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.amc.2014.07.025
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.526-532
  • Anahtar Kelimeler: Genuine Szasz-Mirakjan operators, Complex hybrid operator, Upper bound, Voronovskaja type asymptotic formula, Exact order
  • Erciyes Üniversitesi Adresli: Evet

Özet

In the recent years several complex operators of summation-integral type have been

proposed and their approximation properties have been discussed. The operators which

have Baskakov or Szász basis functions have very complicated analysis. In the present article,

we propose a complex hybrid operator, the special case of which provides the genuine

Baskakov–Szász operators. Here we establish an upper estimate, Voronovskaja type

asymptotic formula and exact order of approximation.