APPROXIMATION PROPERTIES OF STANCU TYPE MEYER- KONIG AND ZELLER OPERATORS

Orkcu M.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.42, sa.2, ss.139-148, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 2
  • Basım Tarihi: 2013
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.139-148
  • Anahtar Kelimeler: q- Meyer-Konig and Zeller operators, Stancu type operators, rth order generalization, statistical convergence, modulus of continuity, THEOREMS
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we introduce a Stancu type modification of the q- Meyer-Konig and Zeller operators and investigate the Korovkin type statistical approximation properties of this modification via A-statistical convergence. We also compute rate of convergence of the defined operators by means of modulus of continuity. Furthermore, we give an rth order generalization of our operators and obtain approximation results of them.