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 R¹ Spaces of Finite Functions. 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:

NormedRdToNormedR1Finite Function Class Constructor
Retrieve the Finite Class of R^d To R¹ Functions

Module = Computational Core Module
Library = Statistical Learning Library
Project = R¹ and R^d Vector/Tensor Spaces (Validated and/or Normed), and Function Classes
Package = Normed Finite Spaces Function Class

Author:: Lakshmi Krishnamurthy

Constructor Summary

Constructors

Constructor Description

NormedRdToNormedR1Finite(double maureyConstant, NormedRdToNormedR1[] normedRdToNormedR1Array)
NormedRdToNormedR1Finite Function Class Constructor
Method Summary

Modifier and Type Method Description

RdToR1[] functionRdToR1Set()
Retrieve the Finite Class of R^d To R¹ 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 Details
- NormedRdToNormedR1Finite
  
  public NormedRdToNormedR1Finite(double maureyConstant, NormedRdToNormedR1[] normedRdToNormedR1Array) throws java.lang.Exception
  
  NormedRdToNormedR1Finite Function Class Constructor
  
  Parameters:
  
  maureyConstant - The Maurey Constant
  
  normedRdToNormedR1Array - Array of the Function Spaces
  
  Throws:
  
  java.lang.Exception - Thrown if NormedRdToNormedR1Class Instance cannot be created
Method Details
- functionRdToR1Set
  
  public RdToR1[] functionRdToR1Set()
  
  Retrieve the Finite Class of R^d To R¹ Functions
  
  Returns:
  
  The Finite Class of R^d To R¹ Functions