Periodic function
Summary
A periodic function takes the same values again after each shift of the argument by a fixed nonzero number . The sine and cosine functions are periodic with period . The node periodic function gives the precise definition.
Where this leads
19 pages build on this one.
- L2 convergence of Fourier series
- Dirichlet conditions
- Summability kernel
- Melnikov method
- Periodic solutions of integral equations
- Dini test
- Floquet multiplier
- Riemann localization principle
- Favard's theorem on trigonometric approximation
- Density of trigonometric polynomials in continuous functions
- Krylov–Bogolyubov averaging
- Fourier basis of L2 of the circle
- Sawtooth wave
- Square wave
- Basel problem via Fourier series
- Periodic solution
- Jackson's inequality
- Decay of Fourier coefficients and smoothness
- Mathieu function
Further reading
- Web https://en.wikipedia.org/wiki/Periodic_function, lead section
About this page
| Tag | 0ATF6Q0633 |
|---|---|
| URI | m2://0ATF6Q0633 |
| Kind | concept |
| Writing | W1 stated |
| MSC | 26A09 |
| Same as |
Markdown · JSON · Edit on GitHub
What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Definitions
Used by
- Dirichlet conditions
- Summability kernel
- Melnikov method
- Periodic solutions of integral equations
- Dini test
- Floquet multiplier
- Riemann localization principle
- Favard's theorem on trigonometric approximation
- Density of trigonometric polynomials in continuous functions
- Krylov–Bogolyubov averaging
- Periodic solution
- Jackson's inequality
- Decay of Fourier coefficients and smoothness
- Mathieu function