On interpolation polynomials of the Hermite-Fejér type
T. M. Mills (1976)
Colloquium Mathematicae
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T. M. Mills (1976)
Colloquium Mathematicae
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Zalman Rubinstein (1984)
Annales Polonici Mathematici
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Newman, D.J., Rubel, L.A. (1979)
International Journal of Mathematics and Mathematical Sciences
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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.
Branga, Adrian (1998)
General Mathematics
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Phung Van Manh (2015)
Annales Polonici Mathematici
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We give a new poised bivariate Hermite scheme and a formula for the interpolation polynomial. We show that the Hermite interpolation polynomial is the limit of bivariate Lagrange interpolation polynomials at Bos configurations on circles.
Rene Piedra (1989)
Banach Center Publications
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A. ZENÍSEK (1970)
Numerische Mathematik
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S. Hartman (1968)
Colloquium Mathematicae
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R. Taberski (1974)
Colloquium Mathematicae
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R. Taberski (1971)
Colloquium Mathematicae
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R. Taberski (1972)
Colloquium Mathematicae
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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....
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...