Ong, Seng Huat and Ng, Choung Min and Yap, Hong Keat and Srivastava, Hari Mohan (2022) Some probabilistic generalizations of the Cheney-Sharma and Bernstein approximation operators. Axioms, 11 (10). ISSN 2075-1680, DOI https://doi.org/10.3390/axioms11100537.
Full text not available from this repository.Abstract
The objective of this paper is to give some probabilistic derivations of the Cheney, Sharma, and Bernstein approximation operators. Motivated by these probabilistic derivations, generalizations of the Cheney, Sharma, and Bernstein operators are defined. The convergence property of the Bernstein generalization is established. It is also shown that the Cheney-Sharma operator is the Szasz-Mirakyan operator averaged by a certain probability distribution.
| Item Type: | Article |
|---|---|
| Funders: | [FRGS/1/2020/STG06/SYUC/02/1] |
| Uncontrolled Keywords: | Generalized Laguerre polynomials; Korovkin theorem; noncentral negative binomial; Probabilistic derivation; Weierstrass approximation theorem; Szasz-Mirakyan operator |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 26 Sep 2023 02:21 |
| Last Modified: | 26 Sep 2023 02:21 |
| URI: | http://eprints.um.edu.my/id/eprint/40860 |
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