... Inequalities and ApplicationsVolume 2008, Article ID 389410, 9 pagesdoi:10.1155/2008/389410 Research Article On Logarithmic Convexity for Power Sums and Related ResultsJ. Peˇcari´c1, 2 and Atiq ... γ−1ηξ,weget3.16.Corollary 3.5. Let x and p be two nonnegative n-tuples and let t, r, s ∈ R.ThenAst,r(x; pη. 3.18Proof. If t, r, and s are pairwise distinct, then we put αxxt, βxxr, and γxxsin3.16 ... Peˇcari´c and A. U. Rehman 9References1 J. E. Peˇcari´c, F. Proschan, and Y. L. Tong, Convex Functions, Partial Orderings, and Statistical Applications,vol. 187 of Mathematics in Science and...