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On a New Family of Szász-Type Operators Associated With U-Charlier–Poisson Polynomials

Author

Listed:
  • Nisanur Sezer
  • Bilge Zehra Sergi Yılmaz
  • Gürhan İçöz

Abstract

This paper investigates an operator constructed with Charlier–Poisson polynomials and analyzes its approximation behavior. We establish results on the convergence of the operator and study its rate of approximation by employing the modulus of continuity. In addition, we obtain the rate of approximation by using the Lipschitz class and Peetre’s K-functional. Later, we observe the graphical analysis for the given operator.

Suggested Citation

  • Nisanur Sezer & Bilge Zehra Sergi Yılmaz & Gürhan İçöz, 2026. "On a New Family of Szász-Type Operators Associated With U-Charlier–Poisson Polynomials," Journal of Mathematics, Hindawi, vol. 2026, pages 1-10, October.
    • Handle: RePEc:hin:jjmath:3392932
    DOI: 10.1155/jom/3392932
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