org.drip.spaces.functionclass

Class NormedRdToNormedR1Finite

java.lang.Object

org.drip.spaces.functionclass.NormedRxToNormedRxFinite

org.drip.spaces.functionclass.NormedRxToNormedR1Finite

org.drip.spaces.functionclass.NormedRdToNormedR1Finite

public class NormedRdToNormedR1Finite
extends NormedRxToNormedR1Finite

NormedRdToNormedR1Finite implements the Class F of f : Normed R^d To Normed R^1 Spaces of Finite Functions. 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
NormedRdToNormedR1Finite(double dblMaureyConstant, NormedRdToNormedR1[] aNormedRdToNormedR1) NormedRdToNormedR1Finite Function Class Constructor

Method Summary

Modifier and Type	Method and Description
RdToR1[]	functionRdToR1Set() Retrieve the Finite Class of R^d To R^1 Functions

Methods inherited from class org.drip.spaces.functionclass.NormedRxToNormedR1Finite

agnosticCoveringNumberBounds, functionSpaces, inputMetricVectorSpace, operatorPopulationMetricNorm, operatorPopulationSupremumNorm, operatorSampleMetricNorm, operatorSampleSupremumNorm, outputMetricVectorSpace, populationCoveringNumber, populationSupremumCoveringNumber, sampleCoveringNumber, sampleSupremumCoveringNumber

Methods inherited from class org.drip.spaces.functionclass.NormedRxToNormedRxFinite

maureyConstant, outputDimension, populationMetricCoveringBounds, populationSupremumCoveringBounds, sampleMetricCoveringBounds, sampleSupremumCoveringBounds, scaleSensitiveCoveringBounds

Methods inherited from class java.lang.Object

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

Constructor Detail

NormedRdToNormedR1Finite

public NormedRdToNormedR1Finite(double dblMaureyConstant,
                                NormedRdToNormedR1[] aNormedRdToNormedR1)
                         throws java.lang.Exception

NormedRdToNormedR1Finite Function Class Constructor

Parameters:

dblMaureyConstant - The Maurey Constant

aNormedRdToNormedR1 - Array of the Function Spaces

Throws:

java.lang.Exception - Thrown if NormedRdToNormedR1Class Instance cannot be created

Method Detail

functionRdToR1Set

public RdToR1[] functionRdToR1Set()

Retrieve the Finite Class of R^d To R^1 Functions

Returns:

The Finite Class of R^d To R^1 Functions