QUANTITATIVE ESTIMATES FOR MODIFIED BETA OPERATORS


Bascanbaz-Tunca G., ERENÇİN A., İNCE İLARSLAN H. G.

MATEMATICKI VESNIK, cilt.71, sa.4, ss.359-367, 2019 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 71 Sayı: 4
  • Basım Tarihi: 2019
  • Dergi Adı: MATEMATICKI VESNIK
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.359-367
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we introduce a sequence of positive linear Beta type operators based on a function tau having certain properties. We firstly give some approximation properties of these operators. Next, we establish Voronovskaja type and Gruss-Voronovskaja type theorems in quantitative form with the help of the first order Ditzian-Totik modulus of smoothness.