Examples of 'uniform convergence' in a sentence
Meaning of "uniform convergence"
uniform convergence - In mathematics, uniform convergence refers to the convergence of a sequence of functions in which the rate of convergence is consistent across the entire domain. It means that the functions converge uniformly and not just pointwise
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- A type of convergence of a sequence of functions { fₙ }, in which the speed of convergence of fₙ(x) to f(x) does not depend on x.
How to use "uniform convergence" in a sentence
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uniform convergence
Uniform convergence and convergence almost surely.
A classic example is the concept of uniform convergence.
Pointwise and uniform convergence of sequence of functions.
Infinite sequences of functions and uniform convergence.
Uniform convergence of a sequence and a series of functions.
We study its almost uniform convergence with rate.
Uniform convergence for the integrals.
How to test the uniform convergence.
On the uniform convergence of relative frequencies of events to their probabilities.
Uniform continuity and uniform convergence.
The notion of uniform convergence is important in this context.
A stronger notion of convergence of a series of functions is called uniform convergence.
It preserves uniform convergence on compact sets.
This type of convergence is also called almost uniform convergence.
Uniform convergence of a sequence of functions.
See also
Fourier series and uniform convergence.
Uniform convergence of an infinite product.
This theorem does not hold if uniform convergence is replaced by pointwise convergence.
Uniform convergence implies pointwise convergence and uniform Cauchy convergence.
For locally compact spaces local uniform convergence and compact convergence coincide.
Uniform convergence and its relation to continuity, integration and differentiation.
Sequences and series of functions, uniform convergence.
This criterion for uniform convergence is often useful in real and complex analysis.
We have pointwise convergence, but not uniform convergence.
Graphic examples of uniform convergence of Fourier series from the University of Colorado.
Weierstrass' criterion of uniform convergence.
Proof of Uniform Convergence of continuous functions.
In mathematics, with uniform convergence.
It is clear that uniform convergence implies local uniform convergence, which implies pointwise convergence.
In this setting, almost everywhere and almost uniform convergence are equivalent.
In particular, the uniform convergence of n-stage values implies the uniform convergence of λ-discounted values.
The optimal instruments are estimated, and we obtain a uniform convergence of the estimators.
More specifically, its topological space has a uniform topological structure, allowing a notion of uniform convergence.
Taylor 's theorem ; sequences and series ; uniform convergence and power series.
In Banach spaces, pointwise absolute convergence implies pointwise convergence, and normal convergence implies uniform convergence.
Tukia, Conical limit points and uniform convergence groups.
Taylor series and Laurent series ; regions of convergence, absolute and uniform convergence.
E, the family H { \ displaystyle H } enjoys uniform convergence in probability.
This approach justifies, for example, the notion of uniform convergence.
Description, Computational learning theory, VC theory, statistical uniform convergence and the VC dimension.
Properties = = This concept is often contrasted with uniform convergence.
Egorov theorem tells you that pointwise convergence is nearly uniform, and uniform convergence preserves continuity.
Instead, Weierstrass elaborated and applied uniform convergence.
Finally, combining all the three parts of the proof we get the Uniform Convergence Theorem.
The obtained results are, First, we show the almost sure uniform convergence.
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