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

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

Mathematics, vol.14, no.2, 2026 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 2
  • Publication Date: 2026
  • Doi Number: 10.3390/math14020241
  • Journal Name: Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, Directory of Open Access Journals
  • Keywords: approximation algorithms, graphical simulation, mathematical operators, pointwise convergence, rate of convergence, weighted spaces
  • Gazi University Affiliated: Yes

Abstract

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.