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Function series

From Wikipedia, the free encyclopedia

In calculus, a function series is a series, where the summands are not just real or complex numbers but functions.

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Transcription

Examples

Examples of function series include power series, Laurent series, Fourier series, etc.

Convergence

There exist many types of convergence for a function series, such as uniform convergence, pointwise convergence, almost everywhere convergence, etc.

The Weierstrass M-test is a useful result in studying convergence of function series.

See also

References

  • Chun Wa Wong (2013) Introduction to Mathematical Physics: Methods & Concepts Oxford University Press p. 655
This page was last edited on 12 October 2023, at 17:25
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