Namespaces
Variants
Actions

Abel inequality

From Encyclopedia of Mathematics
Revision as of 17:25, 7 February 2011 by 127.0.0.1 (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

An estimate for the sum of products of two numbers. If sets of numbers and are given such that the absolute values of all sums , , are bounded by a number , i.e. , and if either or , , then

If the are non-increasing and non-negative, one has the simpler estimate:

Abel's inequality is proved by means of the Abel transformation.

How to Cite This Entry:
Abel inequality. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Abel_inequality&oldid=18342
This article was adapted from an original article by L.D. Kudryavtsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article