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 23 (9): 219–247. (French) This paper also discussed Szász–Mirakyan operators, which is why Favard is sometimes credited with their development (eg Favard–Szász operators).
- ^ a b 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. http://www.hindawi.com/journals/jia/raa.75142.html.
‹The stub template below has been proposed for renaming to . See stub types for deletion to help reach a consensus on what to do.
Feel free to edit the template, but the template must not be blanked, and this notice must not be removed, until the discussion is closed. For more information, read the guide to deletion.›