- Communications Faculty of Sciences University Ankara Series A2-A3 Physical and Engineering
- Vol: 61 Issue: 1
- EFFICIENT CHEBYSHEV ECONOMIZATION FOR ELEMENTARY FUNCTIONS
EFFICIENT CHEBYSHEV ECONOMIZATION FOR ELEMENTARY FUNCTIONS
Authors : Esmat Bekir
Pages : 33-56
Doi:10.33769/aupse.459815
View : 11 | Download : 7
Publication Date : 2019-06-30
Article Type : Research
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 (and hence reduced computations) can be obtained while maintaining the same accuracy as those unscaled higher degree polynomials.Keywords : Chebyshev polynomial, economization, trigonometric functions