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math.FA2020
Bounds for the -angular distance and characterizations of inner product spaces
Mario Krnic, Nicusor Minculete
Based on a suitable improvement of a triangle inequality, we derive new mutual bounds for -angular distance $α_p[x,y]=\big\Vert \Vert x\Vert^{p-1}x- \Vert y\Vert^{p-1}y\big\Vert…
math.FA2017
Inequalities for relative operator entropies and operator means
Shigeru Furuichi, Nicuşor Minculete
The main purpose of this article is to study estimates for the Tsallis relative operator entropy, by the use of Hermite-Hadamard inequality. Thus, we obtain alternative bounds for…