Blending type approximation by Stancu-Kantorovich operators based on Pólya-Eggenberger distribution

Autor: Kajla Arun, Araci Serkan
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Open Physics, Vol 15, Iss 1, Pp 335-343 (2017)
Druh dokumentu: article
ISSN: 2391-5471
DOI: 10.1515/phys-2017-0037
Popis: In the paper the authors introduce the Kantorovich variant of Stancu operators based on Pólya-Eggenberger distribution. By making use of this new operator, we obtain some indispensable auxiliary results. We also deal with a Voronovskaja type asymptotic formula and some estimates of the rate of approximation involving modulus of smoothness, such as Ditzian-Totik modulus of smoothness. The rate of convergence for differential functions whose derivatives are bounded is also obtained.
Databáze: Directory of Open Access Journals