Bernstein-type operators on a triangle with one curved side
نویسندگان
چکیده
We construct Bernstein-type operators on a triangle with one curved side. We study univariate operators, their product and Boolean sum, as well as their interpolation properties, the order of accuracy (degree of exactness, precision set) and the remainder of the corresponding approximation formulas. We also give some illustrative examples. Mathematics Subject Classification (2010). Primary 41A36; Secondary 41A35, 41A25, 41A80.
منابع مشابه
Bernstein-type operators on a triangle with all curved sides
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.
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