General Approach to Function Approximation
Applying a predefined set of functionals to a function provides a set of numbers which characterize the function. One can then interpret an approximation very generally as a construction of some function form which reproduces these numbers if the same functionals are used. A large number of existing...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-11-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/12/23/3702 |
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| Summary: | Applying a predefined set of functionals to a function provides a set of numbers which characterize the function. One can then interpret an approximation very generally as a construction of some function form which reproduces these numbers if the same functionals are used. A large number of existing approximations can be interpreted in this way, and we review some of them. In addition, we construct several new expansion types including three rational approximations. |
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| ISSN: | 2227-7390 |