We give bounds on the difference between the weighted arithmetic mean and the weighted geometric mean. These imply refined Young inequalities and the reverses of the Young inequality. We also… Click to show full abstract
We give bounds on the difference between the weighted arithmetic mean and the weighted geometric mean. These imply refined Young inequalities and the reverses of the Young inequality. We also studied some properties on the difference between the weighted arithmetic mean and the weighted geometric mean. Applying the newly obtained inequalities, we show some results on the Tsallis divergence, the Rényi divergence, the Jeffreys–Tsallis divergence and the Jensen–Shannon–Tsallis divergence.
Keywords:
young inequality;
inequality application;
tsallis divergence;
refined young
Journal Title: Entropy
Year Published: 2021
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Journal Title: Entropy
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!