EconomizedRationalApproximation (Function Approximations Package Symbol)

EconomizedRationalApproximation[expr, {x, {x_0, x_1}, m, n}] gives the economized rational approximation to expr that is good over the interval x_0 to x_1, with numerator ...

GeneralMiniMaxApproximation (Function Approximations Package Symbol)

GeneralMiniMaxApproximation[{f_x, f_y}, {t, {t_0, t_1}, m, n}, x] finds the rational polynomial function of x, with numerator order m and denominator order n, that gives a ...

GeneralRationalInterpolation (Function Approximations Package Symbol)

GeneralRationalInterpolation[{f_x, f_y}, {t, m, n}, x, {t_1, ..., t m + n + 1}]] gives the rational polynomial function of x, with numerator order m and denominator order n, ...

InterpolateRoot (Function Approximations Package Symbol)

InterpolateRoot[lhs == rhs, {x, x_0, x_1}] searches for a numerical solution to the equation lhs == rhs using x_0 and x_1 as the first two values of x.

MiniMaxApproximation (Function Approximations Package Symbol)

MiniMaxApproximation[expr, {x, {x_0, x_1}, m, n}] finds the rational polynomial function of x, with numerator order m and denominator order n, that gives a mini-max ...

OrderStarInterpolation (Function Approximations Package Symbol)

OrderStarInterpolation is an option to OrderStarPlot that specifies whether interpolation points of an approximant to a function should be displayed.

OrderStarKind (Function Approximations Package Symbol)

OrderStarKind is an option to OrderStarPlot that specifies the type of order star to be displayed.

OrderStarLegend (Function Approximations Package Symbol)

OrderStarLegend is an option to OrderStarPlot that specifies whether to display the legend of symbols used to represent zeros, poles and interpolation points.

OrderStarPlot (Function Approximations Package Symbol)

OrderStarPlot[r, f] draws the order star depicting the region where | r/f | < 1 for the functions r and f.OrderStarPlot[r, f, z] draws the order star where r and f are ...

OrderStarPoles (Function Approximations Package Symbol)

OrderStarPoles is an option to OrderStarPlot that specifies whether poles of an approximant and the function to be approximated should be displayed.