Monotonicity of generalized weighted mean values
Colloquium Mathematicum, Tome 99 (2004) no. 2, pp. 203-206.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The author gives a new simple proof of monotonicity of the generalized extended mean values $$ M(r,s)= \left ({\int f^s \kern .16667em d\mu \over \int f^r \kern .16667em d\mu } \right)^{1/(s-r)} $$ introduced by F. Qi.
DOI : 10.4064/cm99-2-5
Keywords: author gives simple proof monotonicity generalized extended mean values int kern int kern right s r introduced

Alfred Witkowski 1

1 Mielczarskiego 4/29 85-796 Bydgoszcz, Poland
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Alfred Witkowski. Monotonicity of generalized weighted mean values. Colloquium Mathematicum, Tome 99 (2004) no. 2, pp. 203-206. doi : 10.4064/cm99-2-5. http://geodesic.mathdoc.fr/articles/10.4064/cm99-2-5/

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