Author:
Raza Nusrat,Kumar Manoj,Mursaleen M.
Abstract
AbstractThis article explores a Chlodowsky-type extension of Szász operators using the general-Appell polynomials. The convergence properties of these operators are established by employing the universal Korovkin-type property, and the order of approximation is determined using the classical modulus of continuity. Additionally, the weighted $\mathfrak{B}$
B
-statistical convergence and statistically weighted $\mathfrak{B}$
B
-summability properties of the operators are derived. Theoretical results are supported by numerical and graphical examples.
Publisher
Springer Science and Business Media LLC
Reference32 articles.
1. Aksoy, M.S.: New modification of the Post Widder operators preserving exponential functions. Arab J. Basic Appl. Sci. 31(1), 93–103 (2024). https://doi.org/10.1080/25765299.2024.2302536
2. Aksoy, M.S., Kanat, K.: Approximation by Szász-Baskakov operators based on Boas-Buck-type polynomials. Filomat 36(11), 3655–3673 (2022)
3. Ali, M., Kadak, U.: Approximation by Szász-Chlodowsky type operators associating 2D-Appell polynomials. Z. Angew. Math. Mech. 102, e202100229, 17 pp. (2022)
4. Appell, P.: Sur une classe de polynômes. Ann. Sci. Éc. Norm. Supér. (2) 9, 119–144 (1880)
5. Araci, S., Riyasat, M., Nahid, T., Khan, S.: Certain results for unified Apostol type-truncated exponential-Gould-Hopper polynomials and their relatives (2020). arXiv:2006.12970
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献