org.drip.spaces.rxtor1

Class NormedR1ContinuousToR1Continuous

java.lang.Object

org.drip.spaces.rxtor1.NormedRxToNormedR1

org.drip.spaces.rxtor1.NormedR1ToNormedR1

org.drip.spaces.rxtor1.NormedR1ContinuousToR1Continuous

Direct Known Subclasses:

RegularizerR1ContinuousToR1Continuous

public class NormedR1ContinuousToR1Continuous
extends NormedR1ToNormedR1

NormedR1ContinuousToR1Continuous implements the f : Validated Normed R^1 Continuous To Validated Normed R^1 Continuous Function Spaces. The Reference we've used is: - Carl, B., and I. Stephani (1990): Entropy, Compactness, and Approximation of Operators, Cambridge University Press, Cambridge UK.

Author:

Lakshmi Krishnamurthy

Constructor Summary

Constructors

Constructor and Description
NormedR1ContinuousToR1Continuous(R1Continuous r1ContinuousInput, R1Continuous r1ContinuousOutput, R1ToR1 funcR1ToR1) NormedR1ContinuousToR1Continuous Function Space Constructor

Method Summary

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

Methods inherited from class org.drip.spaces.rxtor1.NormedR1ToNormedR1

function, inputMetricVectorSpace, outputMetricVectorSpace, populationESS, sampleMetricNorm, sampleSupremumNorm

Methods inherited from class org.drip.spaces.rxtor1.NormedRxToNormedR1

populationCoveringNumber, populationSupremumCoveringNumber, populationSupremumMetricNorm, sampleCoveringNumber, sampleSupremumCoveringNumber

Methods inherited from class java.lang.Object

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

Constructor Detail

NormedR1ContinuousToR1Continuous

public NormedR1ContinuousToR1Continuous(R1Continuous r1ContinuousInput,
                                        R1Continuous r1ContinuousOutput,
                                        R1ToR1 funcR1ToR1)
                                 throws java.lang.Exception

NormedR1ContinuousToR1Continuous Function Space Constructor

Parameters:

r1ContinuousInput - The R^1 Input Metric Vector Space

r1ContinuousOutput - The R^1 Output Metric Vector Space

funcR1ToR1 - The R^1 To R^1 Function

Throws:

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

Method Detail

populationMetricNorm

public double populationMetricNorm()
                            throws java.lang.Exception

Description copied from class: NormedRxToNormedR1

Retrieve the Population Metric Norm

Specified by:

populationMetricNorm in class NormedRxToNormedR1

Returns:

The Population Metric Norm

Throws:

java.lang.Exception - Thrown if the Population Metric Norm cannot be computed