Lagrange interpolation is a method that uses a linear combination of basis functions, called Lagrange polynomials, to construct an interpolating polynomial. Each Lagrange polynomial is zero at all ...

Lagrange interpolation is widely used in signal processing; however, high-order interpolation is affected by Runge phenomenon and the inflexible basis function construction. In this paper, an improved ...

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Interpolation is a technique to estimate the values of a function at points that are not given by the data. It is widely used in numerical analysis, engineering, science, and other fields.

This work focuses on weighted Lagrange interpolation on an unbounded domain and analyzes the Lebesgue constant for a sequence of weighted Leja points. The standard Leja points are a nested sequence of ...

Necessary and sufficient conditions are found for weighted mean convergence of Lagrange and quasi-Lagrange interpolation based at the zeros of generalized Jacobi polynomials. Journal Information This ...

Polynomial interpolation to analytic functions can be very accurate, depending on the distribution of the interpolation nodes. However, in equispaced nodes and the like, besides being badly ...