EFFICIENT CHEBYSHEV ECONOMIZATION FOR ELEMENTARY FUNCTIONS

Authors : Esmat BEKIR

Pages : 33-56

Doi:10.33769/aupse.459815

View : 14 | Download : 10

Publication Date : 2019-06-30

Article Type : Research Paper

Abstract :This paper presents economized power series for trigonometric and hyperbolic functions. It determines the smallest range over which a function need to be computed and scales the Chebyshev polynomials accordingly. Thus reduced degree polynomials insert ignore into journalissuearticles values(and hence reduced computations); can be obtained while maintaining the same accuracy as those unscaled higher degree polynomials.
Keywords : Chebyshev polynomial, economization, trigonometric functions