APPROXIMATION PROPERTIES OF CERTAIN BERNSTEIN-STANCU TYPE OPERATORS

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Acu A., DOĞRU O., Muraru C. V., Radu V. A.

JOURNAL OF MATHEMATICAL INEQUALITIES, cilt.13, sa.3, ss.687-702, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 3
  • Basım Tarihi: 2019
  • Doi Numarası: 10.7153/jmi-2019-13-46
  • Dergi Adı: JOURNAL OF MATHEMATICAL INEQUALITIES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.687-702
  • Anahtar Kelimeler: Bernstein-Stancu operator, q-integers, rate of convergence, moduli of continuity, DURRMEYER TYPE OPERATORS, VARIANT
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper we introduce and investigate a new operator of Bernstein-Stancu type, based on q-polynomials. We study approximation properties for these operators based on Korovkin type approximation theorem and study some direct theorems. Also, the study contains numerical considerations regarding the constructed operators based on Maple algorithms.