350 rub
Journal Neurocomputers №9 for 2014 г.
Article in number:
Fractal representation of trigonometric and hyperbolic functions as a method of getting their new rational approximations
Keywords: approximation continued fraction continued branching fraction fractal norm error
Authors:
P.K. Korneev - Ph.D. (Phys.-Math.), Associate Professor, Department of Applied Mathematics and Mathematical Modeling, Institute of Mathematics and Natural Sciences, North-Caucasus Federal University, Stavropol, Russia
I.A. Zhuravlyova - Ph.D. (Ped.), Associate Professor, Department of Applied Mathematics and Mathematical Modeling, Institute of Mathematics and Natural Sciences, North-Caucasus Federal University, Stavropol, Russia. E-mail: irinapolina@yandex.ru
A.M. Kravtsov - Ph.D. (Phys.-Math.), Associate Professor, Department of Applied Mathematics and Computer Technology, Institute of Information Technology and Telecommunications, North-Caucasus Federal University, Stavropol, Russia
E.V. Nepretimova - Ph.D. (Phys.-Math.), Associate Professor, Department of Applied Mathematics and Mathematical Modeling, Institute of Mathematics and Natural Sciences, North-Caucasus Federal University, Stavropol, Russia. E-mail: nev1973@mail.ru
A.V. Gladkov - Senior Lecturer, Department of Applied Mathematics and Mathematical Modeling, Institute of Mathematics and Natural Sciences, North-Caucasus Federal University, Stavropol, Russia. E-mail: gavandrew@mail.ru
Abstract:
In this paper we construct new rational approximation of trigonometric and hyperbolic functions based on their fractal representation. These approximations can be successfully used for calculating the approximate values of these functions. Examples of calculating the values of the function are given.
Pages: 98-101
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