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In this paper, we present some refinements and reverses for some inequalities involving the weighted arithmetic mean and the weighted geometric mean of two convex functionals. Inequalities involving the Heinz… Click to show full abstract
In this paper, we present some refinements and reverses for some inequalities involving the weighted arithmetic mean and the weighted geometric mean of two convex functionals. Inequalities involving the Heinz functional mean are also obtained. As applications, we give some refinements and reverses for the relative entropy and the Tsallis relative entropy involving operator or functional arguments.
Keywords:
mean;
entropy;
convex functionals;
weighted arithmetic;
geometric mean
Journal Title: Journal of Inequalities and Applications
Year Published: 2020
Link to full text (if available)
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Journal Title: Journal of Inequalities and Applications
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!