ChebyshevSeries.GetInterpolatingPolynomial Method

Calculates the Chebyshev interpolating polynomial of the specified degree over the given interval for the specified function.

Definition

Namespace: Extreme.Mathematics.Curves
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23

public static ChebyshevSeries GetInterpolatingPolynomial(
	Func<double, double> function,
	double lowerBound,
	double upperBound,
	int degree
)

Visual Basic

Public Shared Function GetInterpolatingPolynomial ( 
	function As Func(Of Double, Double),
	lowerBound As Double,
	upperBound As Double,
	degree As Integer
) As ChebyshevSeries

C++/CLI

public:
static ChebyshevSeries^ GetInterpolatingPolynomial(
	Func<double, double>^ function, 
	double lowerBound, 
	double upperBound, 
	int degree
)

static member GetInterpolatingPolynomial : 
        function : Func<float, float> * 
        lowerBound : float * 
        upperBound : float * 
        degree : int -> ChebyshevSeries

Parameters

function Func<Double, Double>: A delegate that represents a function of one variable that specifies the function to interpolate.
lowerBound Double: The lower bound of the interval.
upperBound Double: The upper bound of the interval.
degree Int32: The desired degree of the interpolating polynomial.

Return Value

ChebyshevSeries
A ChebyshevSeries object.

Remarks

The interpolating polynomial through the Chebyshev

Exceptions

ArgumentException	The interval has zero length.
ArgumentNullException	function is null.
ArgumentOutOfRangeException	degree is less than zero.