Displaying similar documents to “Asymptotic properties of polynomials with auxiliary conditions of interpolation”

Extension via interpolation

A. Goncharov (2005)

Banach Center Publications

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We suggest a modification of the Pawłucki and Pleśniak method to construct a continuous linear extension operator by means of interpolation polynomials. As an illustration we present explicitly the extension operator for the space of Whitney functions given on the Cantor ternary set.

Three ways of interpolation on finite elements

Šolín, Pavel, Segeth, Karel

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Interpolation on finite elements usually occurs in a Hilbert space setting, which means that interpolation techniques involving orthogonal projection are an alternative for the traditional Lagrange nodal interpolation schemes. In addition to the Lagrange interpolation, this paper discusses the global orthogonal projection and the projection-based interpolation. These techniques are compared from the point of view of quality, efficiency, sensitivity to input parameters and other aspects....

A Newton approach to bivariate Hermite interpolation on generalized natural lattices.

Jesús Miguel Carnicer, Mariano Gasca (2002)

RACSAM

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Un retículo natural es el conjunto de todas las intersecciones de un conjunto de rectas del plano en posición general. El problema de interpolación de Lagrange sobre un retículo natural de n + 2 rectas tiene solución única en el espacio de los polinomios bivariados de grado menor o igual que n. Un retículo natural generalizado está formado por todas las intersecciones de un conjunto de rectas distintas, sin excluir paralelismos o concurrencias múltiples. A un retículo natural generalizado...