On approximation properties of α-Baskakov-Schurer-Stancu operators: graphical investigations
This paper deals with some behavior of Baskakov-Schurer-Stancu type operators in approximating functions, grounded on non-negative parameter α. Firstly, we establish some needed moment estimations. Next, according to the famous Korovkin theorem we prove weighted approximation result of proposed operators. Also, we provide rate of convergence of these operators and as well as pointwise convergence theorems. Lastly, to demonstrate the efficiency and consistency of the operators, we provide some graphical representations.
Authors
- Qing‐Bo Cai (ORCID: https://orcid.org/0000-0003-4759-7441)
- İsmet Yüksel
- Reşat Aslan (ORCID: https://orcid.org/0000-0002-8180-9199)
- Jun-Jie Quan
- Nadire Fulda Odabaşı (ORCID: https://orcid.org/0000-0001-5825-1177)
Institutions
- Van Yüzüncü Yıl Üniversitesi (TR)
- Jimei University (CN)
- Quanzhou Normal University (CN)
- Gazi University (TR)
Publication Details
- Journal
- Journal of Inequalities and Applications
- Published
- 2025-10-15
- DOI
- https://doi.org/10.1186/s13660-025-03377-5
- Citations
- 1
- Primary Topic
- Approximation Theory and Sequence Spaces
- Type
- article
- Field-Weighted Citation Impact
- 2.63