Optimal bounds for Neuman-Sándor mean in terms of the convex combination of the logarithmic and the second Seiffert means
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DOI: 10.1186/s13660-017-1516-7
Abstract: In the article, we prove that the double inequality αL(a,b)+(1−α)T(a,b)0$ with a≠b$a\ne b $ if and only if α≥1/4$\alpha\ge1/4$ and β≤1−π/[4log(1+2)]$\beta\le1-\pi/[4\log(1+\sqrt{2})]$, where NS(a,b)$\mathit{NS}(a,b)$, L(a,b)$L(a,b)$ and T(a,b)$T(a,b)$ denote the Neuman-Sándor, logarithmic and second Seiffert means of… read more here.
Keywords: seiffert means; optimal bounds; second seiffert; logarithmic second ... See more keywords