Struct InterpolationData 

pub struct InterpolationData {
    pub space0: String,
    pub space1: String,
    pub theta: f64,
    pub method: InterpolationMethod,
}

Data for interpolation between Banach spaces.

Fields

space0: String

Space X_0 description.

space1: String

Space X_1 description.

theta: f64

Interpolation parameter θ ∈ [0,1].

method: InterpolationMethod

Interpolation method.

Implementations

impl InterpolationData

pub fn new( space0: &str, space1: &str, theta: f64, method: InterpolationMethod, ) -> Self

Creates interpolation data.

pub fn lp_exponent(&self, p0: f64, p1: f64) -> f64

Returns the interpolation exponent for L^p spaces: 1/p = (1-θ)/p0 + θ/p1.

pub fn riesz_thorin_bound(&self, m0: f64, m1: f64) -> f64

Riesz-Thorin theorem: if T: X0→Y0 has norm M0 and T: X1→Y1 has norm M1, then T: [X0,X1]_θ → [Y0,Y1]_θ has norm <= M0^{1-θ} M1^θ.

pub fn interpolation_space(&self) -> String

Returns the interpolation space description.

Trait Implementations

impl Clone for InterpolationData

fn clone(&self) -> InterpolationData

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for InterpolationData

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.