org.drip.spaces.functionclass

Class NormedR1ToNormedR1Finite

java.lang.Object

org.drip.spaces.functionclass.NormedRxToNormedRxFinite

org.drip.spaces.functionclass.NormedRxToNormedR1Finite

org.drip.spaces.functionclass.NormedR1ToNormedR1Finite

Direct Known Subclasses:

NormedR1ToL1R1Finite

public class NormedR1ToNormedR1Finite
extends NormedRxToNormedR1Finite

NormedR1ToNormedR1Finite implements the Class F of f : Normed R^1 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
NormedR1ToNormedR1Finite(double dblMaureyConstant, NormedR1ToNormedR1[] aNormedR1ToNormedR1) NormedR1ToNormedR1Finite Finite Function Class Constructor

Method Summary

Modifier and Type	Method and Description
R1ToR1[]	functionR1ToR1Set() Retrieve the Finite Class of R^1 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

NormedR1ToNormedR1Finite

public NormedR1ToNormedR1Finite(double dblMaureyConstant,
                                NormedR1ToNormedR1[] aNormedR1ToNormedR1)
                         throws java.lang.Exception

NormedR1ToNormedR1Finite Finite Function Class Constructor

Parameters:

dblMaureyConstant - The Maurey Constant

aNormedR1ToNormedR1 - Array of the Function Spaces

Throws:

java.lang.Exception - Thrown if NormedR1ToNormedR1 Class Instance cannot be created

Method Detail

functionR1ToR1Set

public R1ToR1[] functionR1ToR1Set()

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

Returns:

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