Naslov
On the logarithmic mean in n variables

Autori
Rodić Lipanović, Mirna

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
13th Scientific-Professional Colloquium on Geometry and Graphics / - : Hrvatsko društvo za geometriju i grafiku, 2008, 22-22

Skup
13th Scientific-Professional Colloquium on Geometry and Graphics

Mjesto i datum
Poreč, Hrvatska, 07.09.2008. - 11.09.2008

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
logarithmic mean; Euclidean simplex

Sažetak
The logarithmic mean, defined for two positive real numbers by L(x, y)= (y - x)/(ln y - ln x), for x \neq y ; L(x, x)= x ; doesn't give insights about possible generalizations to several variables. However, if we write this mean in integral form, we get the idea for generalization using the standard notion of Euclidean simplex. In this talk we consider two such generalizations given by A.O. Pittenger and E. Neuman. We also show some other ideas for generalizing the logarithmic mean on $n$ variables using some different methods, and we show that these methods bring us again to the main two generalizations of Pittenger and Neuman. At the end we also mention some further generalizations of such means.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA