Package org.drip.spaces.rxtord

Class NormedRdContinuousToRdContinuous

java.lang.Object

org.drip.spaces.rxtord.NormedRxToNormedRd

org.drip.spaces.rxtord.NormedRdToNormedRd

org.drip.spaces.rxtord.NormedRdContinuousToRdContinuous

public class NormedRdContinuousToRdContinuous
extends NormedRdToNormedRd

NormedRdContinuousToRdContinuous implements the f : Validated Normed R^d 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
NormedRdContinuousToRdContinuous(RdContinuousBanach rdContinuousInput, RdContinuousBanach rdContinuousOutput, RdToRd funcRdToRd)	NormedRdContinuousToRdContinuous 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.NormedRdToNormedRd

function, inputMetricVectorSpace, outputMetricVectorSpace, populationESS, populationRdESS, populationRdSupremumNorm, populationSupremumNorm, sampleMetricNorm, sampleSupremumNorm

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

populationCoveringNumber, populationSupremumCoveringNumber, sampleCoveringNumber, sampleSupremumCoveringNumber

Methods inherited from class java.lang.Object

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

Constructor Details

NormedRdContinuousToRdContinuous

public NormedRdContinuousToRdContinuous(RdContinuousBanach rdContinuousInput,
RdContinuousBanach rdContinuousOutput,
RdToRd funcRdToRd)
                                 throws java.lang.Exception

NormedRdContinuousToRdContinuous Function Space Constructor

Parameters:

rdContinuousInput - The Continuous R^d Input Metric Vector Space

rdContinuousOutput - The Continuous R^d Output Metric Vector Space

funcRdToRd - The RdToRd 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