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Bernstein-type operators on a triangle with all curved sides. (English) Zbl 1243.41009

Summary: We construct and analyze Bernstein-type operators on triangles with curved sides, their product and Boolean sum. We study the interpolation properties and approximation accuracy. Using the modulus of continuity we also study the remainders of the corresponding approximation formulas. Finally, there are given some particular cases and numerical examples.

MSC:

41A36 Approximation by positive operators
65D17 Computer-aided design (modeling of curves and surfaces)
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