Favard operator
In functional analysis, a branch of mathematics, the Favard operators are defined by:
where , , and .[1] They are named after Jean Favard.
Generalizations
A common generalization is:
where is a positive sequence that converges to 0.[1] This reduces to the classical Favard operators when .
References
- Favard, Jean (1944). "Sur les multiplicateurs d'interpolation". Journal de Mathematiques Pures et Appliquees (in French). 23 (9): 219–247. This paper also discussed Szász–Mirakyan operators, which is why Favard is sometimes credited with their development (e.g. Favard–Szász operators).
Footnotes
- 1 2 Nowak, Grzegorz; Aneta Sikorska-Nowak (14 November 2007). "On the generalized Favard–Kantorovich and Favard–Durrmeyer operators in exponential function spaces". Journal of Inequalities and Applications. 2007: 1. doi:10.1155/2007/75142.
This article is issued from Wikipedia - version of the 6/7/2015. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.