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.
Keywords:
author gives simple proof monotonicity generalized extended mean values int kern int kern right s r introduced
Affiliations des auteurs :
Alfred Witkowski 1
@article{10_4064_cm99_2_5,
author = {Alfred Witkowski},
title = {Monotonicity of generalized weighted mean values},
journal = {Colloquium Mathematicum},
pages = {203--206},
publisher = {mathdoc},
volume = {99},
number = {2},
year = {2004},
doi = {10.4064/cm99-2-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm99-2-5/}
}
Alfred Witkowski. Monotonicity of generalized weighted mean values. Colloquium Mathematicum, Tome 99 (2004) no. 2, pp. 203-206. doi: 10.4064/cm99-2-5
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