On the q‐Bernstein Polynomials of Unbounded Functions with q > 1

Sofiya Ostrovska and Ahmet Yaşar Özban

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: The aim of this paper is to present new results related to the q‐Bernstein polynomials Bn,q(f; x) of unbounded functions in the case q > 1 and to illustrate those results using numerical examples. As a model, the behavior of polynomials Bn,q(f; x) is examined both theoretically and numerically in detail for functions on [0, 1] satisfying f(x) ~ Kx−α as x → 0+, where α > 0 and K ≠ 0 are real numbers.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2013/349156

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:349156

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().