Chu, Yuming; Wnag, Miaokun; Wang, Gendi The optimal generalized logarithmic mean bounds for Seiffert’s mean. (English) Zbl 1274.26084 Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 4, 1619-1626 (2012). Summary: For \(p\in \mathbb{R}\), the generalized logarithmic mean \(L_p (a, b)\) and Seiffert’s mean \(T (a, b)\) of two positive real numbers \(a\) and \(b\) are defined, respectively. In this paper, we find the greatest \(p\) and the least \(q\) such that the double-inequality \(L_p (a, b) <T(a, b)< L_q (a, b)\) holds for all \(a, b > 0\) and \(a\neq b\). Cited in 6 Documents MSC: 26E60 Means 26D20 Other analytical inequalities Keywords:generalized logarithmic mean; Seiffert’s mean; power mean PDFBibTeX XMLCite \textit{Y. Chu} et al., Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 4, 1619--1626 (2012; Zbl 1274.26084) Full Text: DOI