Package org.drip.spaces.rxtord

Class NormedR1CombinatorialToRdContinuous

java.lang.Object

org.drip.spaces.rxtord.NormedRxToNormedRd

org.drip.spaces.rxtord.NormedR1ToNormedRd

org.drip.spaces.rxtord.NormedR1CombinatorialToRdContinuous

public class NormedR1CombinatorialToRdContinuous
extends NormedR1ToNormedRd

NormedR1CombinatorialToRdContinuous implements the f : Validated Normed R¹ Combinatorial 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

It provides the following Functionality:

• NormedR1CombinatorialToRdContinuous 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
NormedR1CombinatorialToRdContinuous(R1Combinatorial r1CombinatorialInput, RdContinuousBanach rdContinuousBanachOutput, R1ToRd r1ToRdFunction)	NormedR1CombinatorialToRdContinuous 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

NormedR1CombinatorialToRdContinuous

public NormedR1CombinatorialToRdContinuous(R1Combinatorial r1CombinatorialInput,
RdContinuousBanach rdContinuousBanachOutput,
R1ToRd r1ToRdFunction)
                                    throws java.lang.Exception

NormedR1CombinatorialToRdContinuous Function Space Constructor

Parameters:

r1CombinatorialInput - The Combinatorial R¹ Input Metric Vector Space

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

r1ToRdFunction - R¹ 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