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Some interpolation operators on a simplex domain. (English) Zbl 1164.41300

Summary: We study certain operators, their product and boolean sum, which interpolate a given function on the triangle and tetrahedron. The interpolation properties and the degree of exactness for these operators are studied. Also, the remainders of the corresponding interpolation formulas are studied.

MSC:

41A05 Interpolation in approximation theory
41A25 Rate of convergence, degree of approximation
41A63 Multidimensional problems
41A80 Remainders in approximation formulas
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