Charlier polynomial-based modified Kantorovich–Szász type operators and related approximation outcomes

This paper uses some positive sequences to modify the Kantorovich version of Charlier operators, and it establishes approximation results under a variety of approaches, including Korovkin’s type theory, direct approximation using moduli of smoothness of orders 1 and 2, as well as more weighted resul...

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Bibliographic Details
Published in:The Journal of Analysis 2024-12, Vol.32 (6), p.3315-3333
Main Authors: Ansari, Khursheed J., Sharma, Vinita, Samei, Mohammad Esmael
Format: Article
Language:English
Subjects:
Abstract Harmonic Analysis
Analysis
Fourier Analysis
Functional Analysis
Mathematics
Mathematics and Statistics
Measure and Integration
Original Research Paper
Special Functions
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Summary:This paper uses some positive sequences to modify the Kantorovich version of Charlier operators, and it establishes approximation results under a variety of approaches, including Korovkin’s type theory, direct approximation using moduli of smoothness of orders 1 and 2, as well as more weighted results.
ISSN:0971-3611
2367-2501
DOI:10.1007/s41478-024-00802-8