Abstract
We provide a survey of several results on functional inequalities stemming from inequalities between classical means. Further, we recall a few problems in this field which according to the best of author’s knowledge remain open. Last section of this paper is devoted to a new, more general functional inequality and a joint generalization of several earlier results is obtained.
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The research of the author was supported by the Polish Ministry of Science and Higher Education in the years 2013–2014, under Project No. IP2012 011072.
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Fechner, W. (2014). Comparisons of Means and Related Functional Inequalities. In: Rassias, T. (eds) Handbook of Functional Equations. Springer Optimization and Its Applications, vol 95. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1246-9_8
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