Several applications of Cartwright-Field's inequality (Q2879534)
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scientific article; zbMATH DE number 6018504
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Several applications of Cartwright-Field's inequality |
scientific article; zbMATH DE number 6018504 |
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27 March 2012
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inequalities for finite sums and products
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classical arithmetic functions
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positive operators
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math.CA
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math.FA
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Several applications of Cartwright-Field's inequality (English)
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One of the refinements of the weighted arithmetic mean-geometric mean inequality, is an inequality due to \textit{D. I. Cartwright} and \textit{M. F. Field} [Proc. Am. Math. Soc. 71, 36--38 (1978; Zbl 0392.26010)]. By using particularizations and substitutions to this inequality, the authors deduce refinements of Young's, Bernoulli's or Hölder's inequality. Two applications are pointed out, too.
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