Approximation by Stancu-Chlodowsky polynomials

作者：Buyukyazici Ibrahim^*

来源：Computers & Mathematics with Applications, 2010, 59(1): 274-282.

DOI：10.1016/j.camwa.2009.07.054

• Stancu polynomials
• Chlodowsky polynomials
• Order of convergence
• Weighted approximation

In this paper, we investigate convergence and approximation properties of a Chlodowsky type generalization of Stancu polynomials (we called Stancu-Chlodowsky polynomials). The rates of convergence of this generalization are obtained by means of modulus of continuity and by using the K-functional of Peetre. We also present and prove theorems on weighted approximation and the order of approximation of continuous functions by these operators on all positive semi-axis.

• 出版日期2010-1