Complex Generalized Stancu Operators Depending on Three Parameters
Dolomites Research Notes on Approximation, vol.18, no.2, pp.47-55, 2025 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 18 Issue: 2
- Publication Date: 2025
- Doi Number: 10.25430/pupj-drna-2025-2-7
- Journal Name: Dolomites Research Notes on Approximation
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
- Page Numbers: pp.47-55
- Keywords: complex Stancu operator, exact degree of approximation, Perturbed Bernstein operator, simultaneous approximation
- Ankara Haci Bayram Veli University Affiliated: Yes
Abstract
In this paper, we consider a new generalization of complex Stancu operators. We obtain quantitative upper estimates for the convergence, lower estimates from a qualitative Voronovskaja-type theorem and then the exact degree of simultaneous approximation by these operators attached to analytic functions in a disk centered at the origin with radius greater than 1. Also, we give some graphical and numerical examples.