# Newton's inequality

## Newton's inequality

[¦nüt·ənz ‚in·i′kwäl·əd·ē] (mathematics)

For any set of

*n*numbers (*n*= 0, 1, 2, …), the inequality*p*_{r-1}*p*_{r +1}≤*p*_{r }^{2}, for 1≤*r*<>*n*, where*p*_{r }is the average value of the terms constituting the*r*th elementary symmetric function of the numbers.McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

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