The generalized Baskakov type operators

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:259

Article; Proceedings Paper

Serenbay, Sevilay Kirci¹  Atakut, Cigdem²  Buyukyazici, Ibrahim² 

[1] Baskent Univ, Dept Math Educ, TR-06530 Ankara, Turkey

[2] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey

关键词: Baskakov type operators;    Finite sum;    Linear positive operator;    Approximation;   

DOI  :  10.1016/j.cam.2013.08.004

来源: Elsevier

【 摘 要 】

The use of Baskakov type operators is difficult for numerical calculation because these operators include infinite series. Do the operators expressed as a finite sum provide the approximation properties? Furthermore, are they appropriate for numerical calculation? In this paper, in connection with these questions, we define a new family of linear positive operators including finite sum by using the Baskakov type operators. We also give some numerical results in order to compare Baskakov type operators with this new defined operator. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free