Squared basis operators related to Bessel functions
Autor
Herzog, Monika
Opublikowane w
Analysis and Mathematical Physics
Numeracja
Volume 15, article number 111
Data wydania
2025
Język
angielski
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-025-01110-5
Słowa kluczowe
squared basis, moment generating function, Bessel function, Voronovskaya-type results
Abstrakt
Recent studies on linear positive operators have led to the investigation of approximation properties of Szász–Mirkyan operators related to the modified Bessel function of order 0. In this paper, we analyse the asymptotic behavior of these operators, convergence theorems, Voronovskaya and Grüss-Voronovskaya type results. A comparative assessment with classical Szász–Mirakyan operators is also presented. These results may have an impact on wide branches of knowledge, such as probability theory, statistics, physical chemistry, optics, and computer science, especially signal processing.
