ArticleOriginal scientific text
Title
Rates of convergence of Chlodovsky-Kantorovich polynomials in classes of locally integrable functions
Authors 1
Affiliations
- Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland
Abstract
In this paper we establish an estimation for the rate of pointwise convergence of the Chlodovsky-Kantorovich polynomials for functions f locally integrable on the interval [0,∞). In particular, corresponding estimation for functions f measurable and locally bounded on [0,∞) is presented, too.
Keywords
Chlodovsky polynomial, Kantorovich polynomial, rate of convergence
Bibliography
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Pages:
53-66
Main language of publication
English
Received
2009-05-12
Published
2009
DOI: 10.7151/dmdico.1104
Exact and natural sciences