Package org.drip.spaces.rxtord

Class NormedR1ContinuousToRdContinuous

java.lang.Object

org.drip.spaces.rxtord.NormedRxToNormedRd

org.drip.spaces.rxtord.NormedR1ToNormedRd

org.drip.spaces.rxtord.NormedR1ContinuousToRdContinuous

public class NormedR1ContinuousToRdContinuous
extends NormedR1ToNormedRd

NormedR1ContinuousToRdContinuous implements the f : Validated Normed R¹ Continuous To Validated Normed R^d Continuous Function Spaces. The Reference we've used is:

• Carl, B., and I. Stephani (1990): Entropy, Compactness, and the Approximation of Operators Cambridge University Press Cambridge UK

• Module = Computational Core Module
• Library = Statistical Learning Library
• Project = R¹ and R^d Vector/Tensor Spaces (Validated and/or Normed), and Function Classes
• Package = R^x To R^d Normed Function Spaces

Author:

Lakshmi Krishnamurthy

Constructor Summary

Constructors

Constructor	Description
NormedR1ContinuousToRdContinuous(R1Continuous r1ContinuousInput, RdContinuousBanach rdContinuousOutput, R1ToRd funcR1ToRd)	NormedR1ContinuousToRdContinuous Function Space Constructor

Method Summary

Modifier and Type	Method	Description
double[]	populationMetricNorm()	Retrieve the Population Metric Norm Array

Methods inherited from class org.drip.spaces.rxtord.NormedR1ToNormedRd

function, inputMetricVectorSpace, outputMetricVectorSpace, populationESS, sampleMetricNorm, sampleSupremumNorm

Methods inherited from class org.drip.spaces.rxtord.NormedRxToNormedRd

populationCoveringNumber, populationSupremumCoveringNumber, populationSupremumNorm, sampleCoveringNumber, sampleSupremumCoveringNumber

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

NormedR1ContinuousToRdContinuous

public NormedR1ContinuousToRdContinuous(R1Continuous r1ContinuousInput,
RdContinuousBanach rdContinuousOutput,
R1ToRd funcR1ToRd)
                                 throws java.lang.Exception

NormedR1ContinuousToRdContinuous Function Space Constructor

Parameters:

r1ContinuousInput - The R^1 Input Metric Vector Space

rdContinuousOutput - The R^d Output Metric Vector Space

funcR1ToRd - The R1ToRd Function

Throws:

java.lang.Exception - Thrown if the Inputs are Invalid

Method Details

populationMetricNorm

public double[] populationMetricNorm()

Description copied from class: NormedRxToNormedRd

Retrieve the Population Metric Norm Array

Specified by:

populationMetricNorm in class NormedRxToNormedRd

Returns:

The Population Metric Norm Array