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Neil Biegalle ACF Abstract FY10

The Extremality of Bernstein Polynomials

Conference Name: MathFest 2009

Extremal problems in the geometry of polynomials concern which polynomials possess certain maximal or minimal geometric properties. We seek to employ results related to polynomial root dragging and root motion to further understand such problems.  Of special interest is our investigation into why Bernstein polynomials frequently arise as maximizers.