Generalized Szász-Mirakyan Operators
Abstract
In this paper, we aim to introduce generalized Szász–Mirakyan operators. In this study, we rigorously analyze the convergence behavior of the proposed operators by employing Korovkin’s theorem. The rate of convergence is established through classical analytical frameworks, particularly utilizing the second modulus of continuity and Peetre’s K-functional. Furthermore, an asymptotic formula is derived, and the convergence properties of the operators’ derivatives are thoroughly investigated.
Keywords
References
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Details
Primary Language
English
Subjects
Approximation Theory and Asymptotic Methods
Journal Section
Research Article
Publication Date
June 30, 2026
Submission Date
June 19, 2025
Acceptance Date
November 16, 2025
Published in Issue
Year 2026 Volume: 75 Number: 2