BarycentricBasis.Chebyshev Method

Definition

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

Chebyshev(Int32)	Returns a new BarycentricBasis equivalent to a basis of Chebyshev polynomials of the specified degree over the interval [-1, 1].
Chebyshev(Double, Double, Int32)	Returns a new BarycentricBasis equivalent to a basis of Chebyshev polynomials of the specified degree over the specified interval.

Returns a new BarycentricBasis equivalent to a basis of Chebyshev polynomials of the specified degree over the interval [-1, 1].

public static BarycentricBasis Chebyshev(
	int degree
)

Visual Basic

Public Shared Function Chebyshev ( 
	degree As Integer
) As BarycentricBasis

C++/CLI

public:
static BarycentricBasis^ Chebyshev(
	int degree
)

static member Chebyshev : 
        degree : int -> BarycentricBasis

degree Int32: The degree of the highest order Chebyshev polynomial in the series.

Returns a new BarycentricBasis equivalent to a basis of Chebyshev polynomials of the specified degree over the specified interval.

public static BarycentricBasis Chebyshev(
	double lowerBound,
	double upperBound,
	int degree
)

Visual Basic

Public Shared Function Chebyshev ( 
	lowerBound As Double,
	upperBound As Double,
	degree As Integer
) As BarycentricBasis

C++/CLI

public:
static BarycentricBasis^ Chebyshev(
	double lowerBound, 
	double upperBound, 
	int degree
)

static member Chebyshev : 
        lowerBound : float * 
        upperBound : float * 
        degree : int -> BarycentricBasis

lowerBound Double: The lower bound of the interval.
upperBound Double: The upper bound of the interval.
degree Int32: The degree of the highest order Chebyshev polynomial in the series.

The support points are the zeros of the Chebyshev polynomial of the first kind of the specified degree.

degree is less than or equal to zero.