On One- and Two-Dimensional α –Stancu–Schurer–Kantorovich Operators and Their Approximation Properties

Md. Heshamuddin, Nadeem Rao, Bishnu P. Lamichhane, Adem Kiliçman () and Mohammad Ayman-Mursaleen ()
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Md. Heshamuddin: Department of Natural & Applied Sciences, Glocal University, Saharanpur-247121, Uttar Pradesh, India
Nadeem Rao: Department of Applied Sciences & Humanities, Panipat Institute of Engineering and Technology, Pattikalyana, Samalkha, Panipat-132102, Haryana, India
Bishnu P. Lamichhane: School of Information & Physical Sciences, The University of Newcastle, University Drive, Callaghan, NSW 2308, Australia
Adem Kiliçman: Department of Mathematics & Statistics, Faculty of Science, Universiti Putra Malaysia, UPM Serdang 43400, Selangor, Malaysia
Mohammad Ayman-Mursaleen: School of Information & Physical Sciences, The University of Newcastle, University Drive, Callaghan, NSW 2308, Australia

Mathematics, 2022, vol. 10, issue 18, 1-13

Abstract: The goal of this research article is to introduce a sequence of α –Stancu–Schurer–Kantorovich operators. We calculate moments and central moments and find the order of approximation with the aid of modulus of continuity. A Voronovskaja-type approximation result is also proven. Next, error analysis and convergence of the operators for certain functions are presented numerically and graphically. Furthermore, two-dimensional α –Stancu–Schurer–Kantorovich operators are constructed and their rate of convergence, graphical representation of approximation and numerical error estimates are presented.

Keywords: rate of convergence; order of approximation; modulus of continuity; weighted approximation; A-statistical approximation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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