Rate of approximation of blending type modified univariate and bivariate λ-Schurer-Kantorovich operators

Aslan R.

Kuwait Journal of Science, cilt.51, sa.1, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 51 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1016/j.kjs.2023.12.007
  • Dergi Adı: Kuwait Journal of Science
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Anahtar Kelimeler: Bézier curves, Modulus of continuity, Peetre's K-Functional, Rate of approximation, λ − Bernstein operators
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this work, we investigate some approximation properties of blending type univariate and bivariate Schurer-Kantorovich operators based on shape parameter λ ∈ [−1, 1]. We evaluate some moment estimates and obtain several direct theorems. Next, we construct the bivariate version of proposed operators and compute rate of approximation with the partial and complete modulus of continuity. Moreover, we present certain graphical and numerical results for univariate and bivariate versions of these operators.