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Approximation by Bicomplex Favard–Szász–Mirakjan Operators

Author

Listed:
  • George A. Anastassiou

    (Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, USA
    These authors contributed equally to this work.)

  • Özge Özalp Güller

    (Departmant of Mathematics, Ankara University, Ankara 06100, Türkiye
    These authors contributed equally to this work.)

  • Mohd Raiz

    (Department of Applied Science and Humanities, Global Institute of Technology and Management, 5 KM Mile Stone, Haily Mandi Road, Kheda Khurampur, Farrukhnagar, Gurugramn 122506, Haryana, India
    These authors contributed equally to this work.)

  • Seda Karateke

    (Department of Software Engineering, Faculty of Engineering and Natural Sciences, Istanbul Atlas University, Kagithane, Istanbul 34408, Türkiye
    These authors contributed equally to this work.)

Abstract

The aim of this paper is to consider bicomplex Favard–Szász–Mirakjan operators and study some approximation properties on a compact C 2 disk. We provide quantitative estimates of the convergence. Moreover, the Voronovskaja-type results for analytic functions and the simultaneous approximation by bicomplex Favard–Szász–Mirakjan operators are investigated.

Suggested Citation

  • George A. Anastassiou & Özge Özalp Güller & Mohd Raiz & Seda Karateke, 2025. "Approximation by Bicomplex Favard–Szász–Mirakjan Operators," Mathematics, MDPI, vol. 13(11), pages 1-14, May.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:11:p:1830-:d:1668527
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