Article ID Journal Published Year Pages File Type
4627451 Applied Mathematics and Computation 2014 5 Pages PDF
Abstract

We obtain a new representation of the sum of the squared Bernstein polynomials and use it to validate a conjecture asserting that this sum is a convex function. The result is extended to some other classical approximation operators.

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Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Preview
On a conjecture concerning the sum of the squared Bernstein polynomials
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