Approximation properties of complex q-Balazs-Szabados operators in compact disks

Ispir N., Yıldız Özkan E.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1186/1029-242x-2013-361
  • Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: complex q-Balazs-Szabados operators, order of convergence, Voronovskaja-type theorem, approximation in compact disks
  • Gazi Üniversitesi Adresli: Evet

Özet

This paper deals with approximating properties and convergence results of the complex q-Balazs-Szabados operators attached to analytic functions on compact disks. The order of convergence and the Voronovskaja-type theorem with quantitative estimate of these operators and the exact degree of their approximation are given. Our study extends the approximation properties of the complex q-Balazs-Szabados operators from real intervals to compact disks in the complex plane with quantitative estimate.