A New Modification of Baskakov–Schurer–Stancu Operators: Weighted and Pointwise Approximation Theories

Odabaşı N. F., Farid M., Rao N., Aslan R.

Mathematics, cilt.14, sa.2, 2026 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 2
  • Basım Tarihi: 2026
  • Doi Numarası: 10.3390/math14020241
  • Dergi Adı: Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, Directory of Open Access Journals
  • Anahtar Kelimeler: approximation algorithms, graphical simulation, mathematical operators, pointwise convergence, rate of convergence, weighted spaces
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

The behavior of a new modification of operators of the Baskakov–Schurer–Stancu variant is discussed in this study. First, we establish certain necessary moment and central moment estimates. We then demonstrate the weighted approximation result of the suggested operators using a Korovkin-type theorem in weighted spaces. We also give the rate at which these operators converge. Next, we establish theorems of pointwise convergence. Finally, we show several graphical representations to illustrate the accuracy and functionality of the operators.