Work

Generalized Szász-Mirakyan Operators

Year: 2026

Type: article

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.

Source: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics

DOI: 10.31801/cfsuasmas.1722751

Authors: Sare Yumruçalı, Harun Karslı, Fatma Taşdelen Yeşildal

Institutions: Ankara University, Bolu Abant İzzet Baysal University

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7166641928

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Cites: 8

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