Chebyshev polynomials, a central class of orthogonal polynomials, have long been pivotal in numerical analysis, approximation theory and the solution of differential equations. Their inherent ...

SIAM Journal on Numerical Analysis, Vol. 52, No. 4 (2014), pp. 1913-1927 (15 pages) Polynomial interpolants defined using Chebyshev extreme points as nodes converge uniformly at a geometric rate when ...

In this paper, we use the algebraic manipulations and the properties of Chebyshev polynomials to obtain two interesting identities involving the power sums of the integral of the first kind Chebyshev ...

The implied volatility is a crucial element in any financial toolbox, since it is used to both quote and hedge options as well as for model calibration. In contrast to the Black–Scholes formula, its ...

The circuit in Figure 1 was given to me some while ago as a three-pole, active 1 dB Chebyshev lowpass filter. I never confirmed that its transfer function complied with the Chebyshev polynomial, but ...