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order of six means

Type of Math Object: 
Theorem
Major Section: 
Reference
Parent: 
Groups audience: 

Mathematics Subject Classification

06A05 no label found26B35 no label found26D07 no label found

Comments

There are a formula of "generalized mean" (if I translated it to English correctly) which generalizes arithmetic, geometric, quadratic and other means.

It should be mentioned.

Sorry, now I don't have free time to write about it (even if I would remember the details).
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Victor Porton - http://www.mathematics21.org
* Algebraic General Topology and Math Synthesis

Do you mean http://en.wikipedia.org/wiki/Generalized_mean?
It does not cover e.g. the Heronian mean.
Jussi

> Do you mean http://en.wikipedia.org/wiki/Generalized_mean?

Yes.
--
Victor Porton - http://www.mathematics21.org
* Algebraic General Topology and Math Synthesis

Porton,
there are some such entries in PM (e.g. http://planetmath.org/encyclopedia/PowerMean.html.
Jussi

Hey pahio and Porton,
However I'm just looking at Wiki as well as in PM pure *discrete* means.
peruchin

Dear Peruchin,
I have never heard of discrete means! What are they?
Jussi

Hi Jussi,
well my friend, the data to obtain any mean of that type, is a finite set of numbers. As an example of continuum mean you have

\bar{x} = [\int_a^b w(x).x.dx]/[\int_a^b w(x).dx].

Pedro

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