Examples of 'lebesgue integral' in a sentence
Meaning of "lebesgue integral"
lebesgue integral - In mathematics, a Lebesgue integral is a type of integral that extends the possibilities of integration to a wider class of functions
Show more definitions
- An integral which has more general application than that of the Riemann integral, because it allows the region of integration to be partitioned into not just intervals but any measurable sets for which the function to be integrated has a sufficiently narrow range. (Formal definitions can be found at PlanetMath).
How to use "lebesgue integral" in a sentence
Basic
Advanced
lebesgue integral
Lebesgue integral in the abstract space.
This integral is precisely the Lebesgue integral.
Lebesgue integral on a line can also be presented in a similar fashion.
Exactly as it is for the ordinary Lebesgue integral.
The Lebesgue integral is deficient in one respect.
Its properties are identical to the traditional Lebesgue integral.
We define the general Lebesgue integral for measurable functions.
On the change of variables in the sign of Lebesgue integral.
An analogue of this inequality for Lebesgue integral is used in construction of Lp spaces.
The criterion has nothing to do with the Lebesgue integral.
The Lebesgue integral extends the integral to a larger class of functions.
It is not generally possible to write the inverse transform as a Lebesgue integral.
The Lebesgue integral made it possible to integrate a much broader class of functions.
Fundamental theorem of Lebesgue integral calculus.
The Lebesgue integral in abstract spaces.
See also
A better route is to abandon the Riemann integral for the Lebesgue integral.
The use of the Lebesgue integral ensures that the space will be complete.
Where the integral on the left-hand side is an ordinary Lebesgue integral.
His formulation works for Bochner integral Lebesgue integral for mappings taking values in Banach spaces.
In real analysis, measurable functions are used in the definition of the Lebesgue integral.
Properties of Lebesgue integral.
For a suitable class of functions ( the measurable functions ) this defines the Lebesgue integral.
The definition of the Lebesgue integral thus begins with a measure, μ.
Instead extensive accounts of Riemann 's integral and the Lebesgue integral are presented.
Formally, the Lebesgue integral provides the necessary analytic device.
These equalities follow directly from the definition of Lebesgue integral for a non-negative function.
Fubini's theorem for the Lebesgue integral.
You'll also be interested in:
Examples of using Lebesgue
Show more
Lebesgue theorem for functions of bounded variation
Where the integral is to be understood in the usual lebesgue sense
Lebesgue integral in the abstract space
Examples of using Integral
Show more
Integral person member active in his environment
Make outreach an integral part of staff missions
Integral attention to the health of the child
