General Approach to Function Approximation

Andrej Liptaj ()
Additional contact information
Andrej Liptaj: Institute of Physics, Slovak Academy of Sciences, SK-84511 Bratislava, Slovakia

Mathematics, 2024, vol. 12, issue 23, 1-30

Abstract: 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.

Keywords: functional action; characteristic number matching; rational approximation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/23/3702/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/23/3702/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:23:p:3702-:d:1529979

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().