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On generalized Seiffert means

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Abstract

Generalizations of two Seiffert means, usually denoted by P and T, are defined and investigated. The means under discussion are symmetric and homogeneous of degree one in each variable. Computable lower and upper bounds for the new means are also established. Several inequalities involving means discussed in this paper are obtained. In particular, two Wilker’s type inequalities involving those means are derived.

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  1. Department of Mathematics, Southern Illinois University, Mailcode 4408, 1245 Lincoln Drive, Carbondale, IL, 62901, USA

    Edward Neuman

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  1. Edward Neuman
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Correspondence to Edward Neuman.

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Neuman, E. On generalized Seiffert means. Aequat. Math. 87, 325–335 (2014). https://doi.org/10.1007/s00010-013-0191-0

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  • DOI: https://doi.org/10.1007/s00010-013-0191-0

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