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Given an open bounded subset Ω of ℝ2 with polygonal boundary and a set of n data values (---1445----1) whose centers can be used to perform a regular triangulation of Ω, we introduce local and global quasi-interpolants that approximate the unknown function u at any point t of Ω. In particular, the approximation problem near the boundary of the studied domain is solved. The method is modelled using numerical examples.
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