Approximation by α–Bernstein–Schurer–Stancu Operators

Creative Commons License

Çetin N., Acu A.

Journal of Mathematical Inequalities, cilt.15, sa.2, ss.845-860, 2021 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.7153/jmi-2021-15-59
  • Dergi Adı: Journal of Mathematical Inequalities
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.845-860
  • Anahtar Kelimeler: Bernstein-Schurer-Stancu operators, alpha-Bernstein operator, modulus of continuity, Voronovskaya type theorem, Gruss-Voronovskaya type theorem, GRUSS-TYPE, INEQUALITIES
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Ankara Hacı Bayram Veli Üniversitesi Adresli: Hayır

Özet

© Zagreb Paper JMI-15-59In this paper, we consider a new family of generalized Bernstein-Schurer-Stancu operators, depending on a non-negative real parameter α and study some approximation properties of these operators. We obtain a recurrence formula concerning calculation of moments by Schurer-Stancu operators. We prove a uniform approximation result using the well-known Korovkin theorem and obtain the rate of convergence in terms of modulus of continuity. Also, we present Voronovskaya and Grüss-Voronovskaya type results for these operators. Moreover, we give some numerical examples to illustrate approximation by the new operator.