Struct MaximalFunctionData 

pub struct MaximalFunctionData {
    pub dimension: usize,
    pub samples: Vec<f64>,
}

Hardy-Littlewood maximal function data.

Fields

dimension: usize

Dimension.

samples: Vec<f64>

Input samples (as finite sequence approximation).

Implementations

impl MaximalFunctionData

pub fn new(dimension: usize, samples: Vec<f64>) -> Self

Creates maximal function data.

pub fn hl_maximal_at(&self, i: usize, r: usize) -> f64

Approximate Hardy-Littlewood maximal function Mf(x) at index i. Uses average over samples[max(0,i-r)..=min(n-1,i+r)] for r=1.

pub fn weak_type_bound_approx(&self, lambda: f64) -> f64

Checks weak-type (1,1) bound: |{Mf > λ}| <= C/λ ||f||_1.

pub fn lp_norm_estimate(&self, p: f64) -> f64

L^p norm estimate for p > 1: ||Mf||_p <= C_p ||f||_p.

Trait Implementations

impl Clone for MaximalFunctionData

fn clone(&self) -> MaximalFunctionData

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for MaximalFunctionData

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

Formats the value using the given formatter.