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Exponentially accurate approximations to piece-wise smooth periodic functions
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Greer Sr., James Banerjee, Saheb |
| Copyright Year | 1995 |
| Description | A family of simple, periodic basis functions with 'built-in' discontinuities are introduced, and their properties are analyzed and discussed. Some of their potential usefulness is illustrated in conjunction with the Fourier series representations of functions with discontinuities. In particular, it is demonstrated how they can be used to construct a sequence of approximations which converges exponentially in the maximum norm to a piece-wise smooth function. The theory is illustrated with several examples and the results are discussed in the context of other sequences of functions which can be used to approximate discontinuous functions. |
| File Size | 1519547 |
| Page Count | 44 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19950018436 |
| Archival Resource Key | ark:/13960/t82k1c86w |
| Language | English |
| Publisher Date | 1995-03-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Discontinuity Approximation Periodic Functions Exponential Functions Functions Mathematics Fourier Series Convergence Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
