Uniform approximation of modified Bessel function
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abstract
In terms of the Bessel function, a mathematical approach is proposed to fast representation of curves by mean splines. Mathematical models have been developed which have polynomials of different degrees. The degree of a polynomial can be chosen by an algorithm developed. The convergence of the mathematical description of curves by the Bessel function and by Chebyshev polynomials is discussed. Theoretical concepts are confirmed by computations using a variety of portions of curves in a spline at a degree of a polynomial of 2 and 4.