On Estimates for Fractional Tsallis Relative Operator Entropy
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In this paper, we us the Hermite-Hadamard inequality and the Riemann Liouville fractional integral operator to obtain an inequality to generalize that generalize known results on the Tsallis relative operator entropy; the elementary convex power func tion is used in a fundamental way. Using our adopted inequality, we generalize the notion of the Tsallis relative operator entropy to the fractional case. This allows us to extend previous bounds on the fractional Tsallis relative operator entropy.
Abstract
In this paper, we us the Hermite-Hadamard inequality and the Riemann Liouville fractional integral operator to obtain an inequality to generalize that generalize known results on the Tsallis relative operator entropy; the elementary convex power func tion is used in a fundamental way. Using our adopted inequality, we generalize the notion of the Tsallis relative operator entropy to the fractional case. This allows us to extend previous bounds on the fractional Tsallis relative operator entropy.
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