This paper presents a generalization of the Remez multiple-exchange (ME) algorithm for solving complex Chebyshev approximation by polynomials on the unit circle. The difficulties of implementing the ...

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 ...

This collection of Python scripts showcases various algorithmic frameworks and numerical methods,and Chebyshev polynomial approximation to the Remez exchange algorithm for FIR filter design. Each ...

Abstract: The problem of denoising signals, defined over graph domains, using a regularization framework, is considered here. Using the $L^{2}$ norm, the optimum ...

We study approximate solutions of a nonlinear integral equation of Hammerstein type. We describe the principle of discrete Adomian decomposition method (DADM). DADM is considered in the case we ...

ABSTRACT: Fractional differential equations have recently been applied in various areas of engineering, science, finance, applied mathematics, bio-engineering and others. However, many researchers ...

Kövari and Pommerenke [19], and Elliott [8], have shown that the truncated Faber series gives a polynomial approximation which (for practical values of the degree of the polynomial) is very close to ...

Abstract: The phenomenon of nonlinearity of the ADC conversion function leads to the errors of different signal parameters as complex spectrum, reactive power, apparent power, active power, root mean ...

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 ...