×

zbMATH — the first resource for mathematics

Sharp bounds for Seiffert means in terms of Lehmer means. (English) Zbl 1204.26053
Summary: We establish two sharp inequalities as follows: \(P(a,b) > L_{-\frac 16} (a,b)\) and \(T (a,b) < L_{\frac 13} (a,b)\) for all \(a,b > 0\) with \(a = b\). Here, \(L_r(a,b), P(a,b)\) and \(T (a,b)\) are the 3 Lehmer, first and second Seiffert means of \(a\) and \(b\), respectively.

MSC:
26E60 Means
PDF BibTeX XML Cite
Full Text: DOI Link