Advances in Numerical Analysis Emphasizing Interval Data

5 Interval Interpolation

DOI: 10.1201/9781003218173-5

5.1 Interval Interpolation

Sometimes the points used for interpolation may not be exactly available and we may have some parts of a data. For this type of data, the word “approximately” is commonly used. Now, if we want to make the word approximately and about meaningful, one of the ways is to use the interval, for example, we show about 2 with $\left[2-\epsilon ,2+\epsilon \right]$, where $\epsilon$ is introduced arbitrarily. So, instead of about 2 or approximately 2, you can use a range that contains 2. Classification of interval data is possible in two ways.

1. Data whose length and width are interval.
2. Data that only whose width is an interval.

Checking case (1) is more difficult than checking case (2). Because in case (1), ...