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 R¹ 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:

NormedR1ToNormedR1Finite Function Class Constructor
Retrieve the Finite Class of R¹ 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
`NormedR1ToNormedR1Finite(double maureyConstant, NormedR1ToNormedR1[] normedR1ToNormedR1Array)`	NormedR1ToNormedR1Finite Finite Function Class Constructor

Method Summary

Modifier and Type Method Description

R1ToR1[] functionR1ToR1Set()
Retrieve the Finite Class of R¹ 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
- NormedR1ToNormedR1Finite
  
  public NormedR1ToNormedR1Finite(double maureyConstant, NormedR1ToNormedR1[] normedR1ToNormedR1Array) throws java.lang.Exception
  
  NormedR1ToNormedR1Finite Finite Function Class Constructor
  
  Parameters:
  
  maureyConstant - The Maurey Constant
  
  normedR1ToNormedR1Array - Array of the Function Spaces
  
  Throws:
  
  java.lang.Exception - Thrown if NormedR1ToNormedR1Finite Instance cannot be created
Method Details
- functionR1ToR1Set
  
  public R1ToR1[] functionR1ToR1Set()
  
  Retrieve the Finite Class of R¹ To R¹ Functions
  
  Returns:
  
  The Finite Class of R¹ To R¹ Functions