A new proof of the monotonicity property of power means.
On Young's inequality.
Convexity of weighted Stolarsky means.
A new proof of the monotonicity of power means.
On a F. Qi integral inequality.
Weighted extended mean values
The author generalizes Stolarsky's Extended Mean Values to a four-parameter family of means F(r,s;a,b;x,y) = E(r,s;ax,by)/E(r,s;a,b) and investigates their monotonicity properties.
Optimal weighted harmonic interpolations between Seiffert means
We provide a set of optimal estimates of the form (1-μ)/𝓐(x,y) + μ/ℳ (x,y) ≤ 1/ℬ(x,y) ≤ (1-ν)/𝓐(x,y) + ν/ℳ (x,y) where 𝓐 < ℬ are two of the Seiffert means L,P,M,T, while ℳ is another mean greater than the two.
Monotonicity of generalized weighted mean values
The author gives a new simple proof of monotonicity of the generalized extended mean values introduced by F. Qi.
An even easier proof of monotonicity of Stolarsky means
Page 1