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Fractional power approximation and its generation. (English) Zbl 0328.65010


MSC:

65D10 Numerical smoothing, curve fitting
65K05 Numerical mathematical programming methods
68U20 Simulation (MSC2010)
41A25 Rate of convergence, degree of approximation

References:

[1] Hamer, H.: Optimum linear segment function generation. Aiee, 518-520 (1956)
[2] Ream, N.: Approximation errors in diode function generators. J. electronics & control 7, 83-96 (1959)
[3] Cantoni, A.: Optimum curve Fitting with piecewise linear functions. IEEE trans. Comput. 20, 59-67 (1971) · Zbl 0213.43504
[4] Kovach, L. D.; Comley, W.: A new, solidstate, nonlinear analog component. IRE trans. Electron. comput. 9, 496-503 (Dec., 1960)
[5] Kobayashi, Y.; Fujimura, T.; Nakamura, M.: Function generator with non-ohmic resistors. Bull. univ. Osaka pref., ser. A 14, No. no. 1, 38-48 (1965)
[6] Igai, T.; Kosako, H.; Kojima, Y.: Polynomial function generator. Soc. analog. Tech. Japan 5, No. no. 1, 45-52 (1965)
[7] Kobayashi, Y.; Ohkita, M.; Inoue, M.; Nakamura, M.: Separate and/or simultaneous generations of nonlinear functions inherent in non-ohmic resistivities. Trans. IMACS 18, No. no. 1 (Jan., 1976) · Zbl 0318.68070
[8] Kovach, L. D.; Comley, W.: Nonlinear transfer functions with thyrite. IRE trans. Electron. comput. 7, 91-97 (Jun., 1958)
[9] Kobayashi, Y.; Fujimura, T.; Nakamura, M.: Approximation study on the sine function by fractional power and roots. Bull. univ. Osaka pref., ser. A 15, No. no. 1, 57-69 (1966)
[10] Kobayashi, Y.; Fujimura, T.; Nakamura, M.: Approximation study on the exponential function for an analog generation. Bull. univ. Osaka pref., ser. A 15, No. no. 2, 59-70 (1966)
[11] Corp, Burr-Brown Res.: Multifunction converter model 4301. (Oct., 1974)
[12] Kobayashi, Y.; Ohkita, M.; Inoue, M.: Fractional powers approximation for nonlinear functions. J. inform. Proc. soc. Japan (July, 1975) · Zbl 0398.65006
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