APPROXIMATION BY q-PHILLIPS OPERATORS


Yuksel İ.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.40, sa.2, ss.191-201, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 2
  • Basım Tarihi: 2011
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.191-201
  • Gazi Üniversitesi Adresli: Evet

Özet

In this study, we introduce a q-analogue of the Phillips operators and investigate approximation properties. We establish direct and local approximation theorems. We give a weighted approximation theorem. We estimate the rate of convergence of these operators for functions of polynomial growth on the interval [0, infinity).