On Log-Convexity for Differences of Mixed Symmetric Means
Matematičeskie zametki, Tome 88 (2010) no. 6, pp. 811-821
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Recently S. Simić has proved log-convexity for differences of power means. We prove a generalization of his result. Namely, log-convexity for differences of mixed symmetric means is proved.
Keywords:
log-convexity, mixed means, symmetric power means.
@article{MZM_2010_88_6_a1,
author = {M. Anwar and J. Pe\v{c}ari\'c},
title = {On {Log-Convexity} for {Differences} of {Mixed} {Symmetric} {Means}},
journal = {Matemati\v{c}eskie zametki},
pages = {811--821},
publisher = {mathdoc},
volume = {88},
number = {6},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_6_a1/}
}
M. Anwar; J. Pečarić. On Log-Convexity for Differences of Mixed Symmetric Means. Matematičeskie zametki, Tome 88 (2010) no. 6, pp. 811-821. http://geodesic.mathdoc.fr/item/MZM_2010_88_6_a1/