Some remarks about the convergence of composition operators
Autor
Rani, Meenu
Herzog, Monika
Grewal, Brijesh Kumar
Opublikowane w
Journal of Inequalities and Applications
Numeracja
Volume 2025, article number 111
Data wydania
2025
Język
angielski
ISSN
1029-242X
eISSN
1029-242X
DOI
10.1186/s13660-025-03363-x
Słowa kluczowe
semi-exponential operators, composition operators, modulus of continuity, Voronovskaya-type results
Abstrakt
This article presents a new sequence of positive linear operators that results from recent advancements in the area of composition operators. We introduce the moment-generating function and utilize it to compute moments of certain orders. Regarding the convergence, we establish fundamental approximation theorems as well as Voronovskaya-type and Grüss-Voronovskaya-type theorems. Moreover, the difference estimates of the Baskakov-Kantorovich-type and our newly defined composition operators are also provided.
