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Математическое моделирование процессов с помощью интерполяционных сплайнов, ортогональных на отрезке [-1,1]
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UDC: 519.6
Publication Language: Ukrainian
Stuc. intelekt. 2011; 16(3):254-260
Abstract: The method for obvious formed construction of set of continuous and orthogonal on [-1,1] splines of the first degree is offered, and approximation of functions of one variable by these splines is also investigated. The formulas for even and odd splines with the fixed quantity of nodes, tables of nodes and zeros of the received splines are given. The offered method can be used for mathematical modeling of processes of the various nature.
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References:
- Kachmazh S. Teorija ortogonal’nyh rjadov. M. 1958.
- Kashin B.S. Ortogonal’nyer jady. M.: Nauka. 1984. 496 s.
- Zav’jalov Ju.S. Metody splajn-funkcij. M.: Nauka. 1980. 352 s.
- Chui Ch. K. Vvedenie v vjejvlety. M.: Mir. 2001. 412 s.
- Franklin P. Math. Ann. Bd. 100. 1928. S. 522-529.
- Haar A. Math. Ann. Bd. 69, 8. 1910. S. 331-371.
- Litvin O.M. Dokl. AN USSR. Ser. A. 1971. № 9. S. 21-23.
- Litvin O.M. Dop. AN Ukrainy. 1997. № 1. S. 31-33.
- Litvin O.M. Klasуchna formula Tejlora, її uzagal’nennja ta zastosuvannja. K.: Nauk. dumka, 1973. 122 s.