In this chapter, we will deal with the question of how a series of data points (e.g., from physical measurements, experimental observations, stock market data, etc.) can be approximated by a simple function p(x) (e.g., polynomials). On the other hand, we want to clarify how complex functions can be approximated by simpler functions.

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Interpolation and Approximation

  • Thomas Richter,
  • Henry von Wahl,
  • Thomas Wick

摘要

In this chapter, we will deal with the question of how a series of data points (e.g., from physical measurements, experimental observations, stock market data, etc.) can be approximated by a simple function p(x) (e.g., polynomials). On the other hand, we want to clarify how complex functions can be approximated by simpler functions.