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Abstract: This paper uses interpolation polynomial method to approximate Nonlinear System. The Interpolation polynomial adopted in this methodology is a combination of Lagrange’s interpolation ...

High order and sparse layers in pytorch. Lagrange Polynomial, Piecewise Lagrange Polynomial, Piecewise Discontinuous Lagrange Polynomial (Chebyshev nodes) and Fourier Series layers of arbitrary order.

Abstract: Using interpolation complicated functions can be converted into simple polynomials which are computationally simple, save time and minimize error. In this ...

This paper considers the performance of Lagrange polynomial interpolation and extrapolation of randomly sampled bandlimited functions and processes; the sampling instants $\{t_n \}$ belong to a broad ...

ABSTRACT: In this paper we investigate weighted polynomial approximations with several variables. Our study relates to the approximation for by weighted polynomial. Then we will give some results ...

The existence of an asymptotic expansion is proved for the Lebesgue constants associated with the polynomial interpolation at the "extended Chebyshev nodes." This series is quite different from the ...