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… Click to show full abstract
In the article, we prove that the double inequality αL(a,b)+(1−α)T(a,b)
               
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