Approximation by the q‐Szász‐Mirakjan Operators

N. I. Mahmudov

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: This paper deals with approximating properties of the q‐generalization of the Szász‐Mirakjan operators in the case q > 1. Quantitative estimates of the convergence in the polynomial‐weighted spaces and the Voronovskaja′s theorem are given. In particular, it is proved that the rate of approximation by the q‐Szász‐Mirakjan operators (q > 1 ) is of order q−n versus 1/n for the classical Szász‐Mirakjan operators.

Date: 2012
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2012/754217

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:2012:y:2012:i:1:n:754217

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 ().