Refined Young Inequality and Its Application to Divergences

نویسندگان

چکیده

We give bounds on the difference between weighted arithmetic mean and geometric mean. These imply refined Young inequalities reverses of inequality. also study some properties Applying newly obtained inequalities, we show results Tsallis divergence, R\'{e}nyi Jeffreys-Tsallis divergence Jensen-Shannon-Tsallis divergence.

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ژورنال

عنوان ژورنال: Entropy

سال: 2021

ISSN: ['1099-4300']

DOI: https://doi.org/10.3390/e23050514