Package org.drip.spaces.rxtord

Class NormedRdCombinatorialToRdContinuous

java.lang.Object

org.drip.spaces.rxtord.NormedRxToNormedRd

org.drip.spaces.rxtord.NormedRdToNormedRd

org.drip.spaces.rxtord.NormedRdCombinatorialToRdContinuous

public class NormedRdCombinatorialToRdContinuous
extends NormedRdToNormedRd

NormedRdCombinatorialToR1Continuous implements the f : Validated Normed R^d Combinatorial to Validated Normed R¹ 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

It provides the following Functionality:

• NormedRdCombinatorialToR1Continuous Function Space Constructor
• Retrieve the Population Metric Norm Array

Module	Computational Core Module
Library	Statistical Learning Library
Project	R1 and Rd Vector/Tensor Spaces (Validated and/or Normed), and Function Classes
Package	Rx To Rd Normed Function Spaces

Author:

Lakshmi Krishnamurthy

Constructor Summary

Constructors

Constructor	Description
NormedRdCombinatorialToRdContinuous(RdCombinatorialBanach rdCombinatorialBanachInput, RdContinuousBanach rdContinuousBanachOutput, RdToRd rdToRdFunction)	NormedRdCombinatorialToRdContinuous 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

NormedRdCombinatorialToRdContinuous

public NormedRdCombinatorialToRdContinuous(RdCombinatorialBanach rdCombinatorialBanachInput,
RdContinuousBanach rdContinuousBanachOutput,
RdToRd rdToRdFunction)
                                    throws java.lang.Exception

NormedRdCombinatorialToRdContinuous Function Space Constructor

Parameters:

rdCombinatorialBanachInput - The Combinatorial R^d Banach Input Metric Vector Space

rdContinuousBanachOutput - The Continuous R^d Banach Output Metric Vector Space

rdToRdFunction - The R^d to R^d Function

Throws:

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

Method Details

populationMetricNorm

public double[] populationMetricNorm()

Retrieve the Population Metric Norm Array

Specified by:

populationMetricNorm in class NormedRxToNormedRd

Returns:

The Population Metric Norm Array