Approximation by Bicomplex Favard–Szász–Mirakjan Operators

George A. Anastassiou, Özge Özalp Güller (), Mohd Raiz and Seda Karateke
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George A. Anastassiou: Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, USA
Özge Özalp Güller: Departmant of Mathematics, Ankara University, Ankara 06100, Türkiye
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
Seda Karateke: Department of Software Engineering, Faculty of Engineering and Natural Sciences, Istanbul Atlas University, Kagithane, Istanbul 34408, Türkiye

Mathematics, 2025, vol. 13, issue 11, 1-14

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.

Keywords: bicomplex Favard–Szász–Mirakjan operators; analytic functions; holomorphic functions; Voronovskaja-type theorem; bicomplex numbers (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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