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On one method of numerical integration

Josef Matušů, Gejza Dohnal, Martin Matušů (1991)

Applications of Mathematics

The uniform convergence of a sequence of Lienhard approximation of a given continuous function is proved. Further, a method of numerical integration is derived which is based on the Lienhard interpolation method.

On semiregular families of triangulations and linear interpolation

Michal Křížek (1991)

Applications of Mathematics

We consider triangulations formed by triangular elements. For the standard linear interpolation operator π h we prove the interpolation order to be v - π h v 1 , p C h v 2 , p for p > 1 provided the corresponding family of triangulations is only semiregular. In such a case the well-known Zlámal’s condition upon the minimum angle need not be satisfied.

On some generalization of box splines

Zygmunt Wronicz (1999)

Annales Polonici Mathematici

We give a generalization of box splines. We prove some of their properties and we give applications to interpolation and approximation of functions.

On the Convergence of (0,1,2) Interpolation

Muneer, Y. (2005)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 41A05.For the Hermite interpolation polynomial, Hm(x) we prove for any function f of C^(2q) ([−1, 1]) and any s = 0, 1, 2, . . . , q , where q is a fixed integer that ...

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