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

Footnotes

  1. 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.


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