A NUMERICAL COMPARATIVE STUDY OF GENERALIZED BERNSTEIN-KANTOROVICH OPERATORS

Kadak U., ÖZGER F.

MATHEMATICAL FOUNDATIONS OF COMPUTING, cilt.4, sa.4, ss.311-332, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 4 Sayı: 4
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3934/mfc.2021021
  • Dergi Adı: MATHEMATICAL FOUNDATIONS OF COMPUTING
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.311-332
  • Anahtar Kelimeler: Multiple shape parameter, infinite matrices, Lipschitz continuous func-tion, Voronovskaja asymptotic formula, Maple algorithm, STATISTICAL APPROXIMATION, DIFFERENCE OPERATOR, SUMMABILITY, CONVERGENCE, POLYNOMIALS, KOROVKIN, THEOREMS
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, a new generalization of the Bernstein-Kantorovich type operators involving multiple shape parameters is introduced. Certain Voronovskaja and Gru spacing diaeresis ss-Voronovskaya type approximation results, statistical convergence and statistical rate of convergence of proposed operators are obtained by means of a regular summability matrix. Some illustrative graphics that demonstrate the convergence behavior, accuracy and consistency of the operators are given via Maple algorithms. The proposed operators are comprehensively compared with classical Bernstein, Bernstein-Kantorovich and other new modifications of Bernstein operators such as lambda-Bernstein, lambda-Bernstein-Kantorovich, alpha-Bernstein and alpha-Bernstein-Kantorovich operators.