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Fractional power approximation and its generation

Author

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  • Kobayashi, Yasuhiro
  • Ohkita, Masaaki
  • Inoue, Michio

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.

Suggested Citation

  • Kobayashi, Yasuhiro & Ohkita, Masaaki & Inoue, Michio, 1976. "Fractional power approximation and its generation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 18(2), pages 115-122.
    • Handle: RePEc:eee:matcom:v:18:y:1976:i:2:p:115-122
    DOI: 10.1016/0378-4754(76)90022-7
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    Cited by:

    1. Kobayashi, Yasuhiro & Ohkita, Masaaki & Inoue, Michio, 1977. "Generation of two-variable functions based on the polynomial approximation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 19(2), pages 141-149.
    2. Kobayashi, Y. & Ohkita, M. & Inoue, M., 1979. "On the use of an exponential function in approximation of elliptic integrals," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 21(2), pages 226-230.
    3. Kobayashi, Yasuhiro & Ohkita, Masaaki & Inoue, Michio, 1978. "Fractional power approximations of elliptic integrals and bessel functions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 20(4), pages 285-290.

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