Translation of Bernstein Coefficients Under an Affine Mapping of the Unit Interval

[摘要] We derive an expression connecting the coefficients of a polynomial expanded in the Bernstein basis to the coefficients of an equivalent expansion of the polynomial under an affine mapping of the domain. The expression may be useful in the calculation of bounds for multi-variate polynomials.

[发布日期] 2012-03-01

[学科分类] 数值分析