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Optimal bounds for Seiffert mean in terms of one-parameter means. (English) Zbl 1322.26004
Summary: The authors present the greatest value $$r_1$$ and the least value $$r_2$$ such that the double inequality $$J_{r1}(a, b) < T(a, b) < J_{r2}(a, b)$$ holds for all $$a, b > 0$$ with $$a \neq b$$, where $$T(a, b)$$ and $$J_p(a, b)$$ denote the Seiffert and $$p$$-th one-parameter means of two positive numbers $$a$$ and $$b$$, respectively.

MSC:
 2.6e+61 Means
Full Text:
References:
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