- Mercer's condition
-
In mathematics, a real-valued function K(x,y) is said to fulfill Mercer's condition if for all square integrable functions g(x) one has
Examples
The constant function
satisfies Mercer's condition, as then the integral becomes by Fubini's theorem
which is indeed non-negative.
See also
This mathematical analysis–related article is a stub. You can help Wikipedia by expanding it.v · Categories: - Mathematical analysis stubs
- Real analysis
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Mercer's condition
- Mercer's condition
-
In mathematics, a real-valued function K(x,y) is said to fulfill Mercer's condition if for all square integrable functions g(x) one has
Examples
The constant function
satisfies Mercer's condition, as then the integral becomes by Fubini's theorem
which is indeed non-negative.
See also
This mathematical analysis–related article is a stub. You can help Wikipedia by expanding it.