About one interpolation problem

Abstract

In questions related to the approximate determination of a function, one encounters the problem of constructing an approximate expression of a function from its mean values given for a number of intervals. An example of this may be constructing the equation of a distribution curve or constructing the equation of a regression line of one of two random variables on the other. The same problem is encountered in determining the distribution of a mineral in a well on the basis of readings obtained from core analyses, and in a number of other sampling problems.

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