Fractional power approximation and its generation

Yasuhiro Kobayashi, Masaaki Ohkita and Michio Inoue

Mathematics and Computers in Simulation (MATCOM), 1976, vol. 18, issue 2, 115-122

Abstract: For an analog simulating system, an approximating system is proposed. Its mathematical form is expressed by an algebraic equation: ƒ (x) ≈ α + β χ + γχk with four parameters given by real numbers. Their values can be determined so as to satisfy a best fit in a Chebyshev sense. Then, the accuracy is of the same order with that obtained by any kind of ordinary power series up to terms o f the third order. It is noticeable that a given function can be accurately approximated by this equation without destroying its uniform continuity.

Date: 1976
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:18:y:1976:i:2:p:115-122

DOI: 10.1016/0378-4754(76)90022-7

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