An optimal double inequality for means.
Qian, Wei-Mao, Zheng, Ning-Guo (2010)
Journal of Inequalities and Applications [electronic only]
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Displaying similar documents to “Best possible inequalities between generalized logarithmic mean and classical means.”
An optimal double inequality for means.
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We give a method for constructing functions and for which has a specified subharmonic minorant . By a theorem of B. Cole, this procedure establishes integral mean inequalities for conjugate functions. We apply this method to deduce sharp inequalities for conjugates of functions in the class , for . In particular, the case yields an improvement of Pichorides’ form of Zygmund’s classical inequality for the conjugates of functions in . We also apply the method to produce a new...