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Keywords
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Entropy, Tsallis entropy, Hermite–Hadamard inequality, harmonically convex,
Jensen inequality and special means
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Abstract
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Abstract. In this paper, we give some new inequalities related to harmonically convex functions.
In fact, we introduce a certain function F including a harmonically convex function and using Jensen and Jensen-Mercer inequalities to obtain some new inequalities. Finally, we give
some application for these inequalities in information theory, Tsallis entropy, mean theory and
approximation theory
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