activity
20162023
most citedAround Jensen's inequality for strongly convex functions

30 citations · 98 across the 46 of their papers we have counts for

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Showing 2017Show all

9 papers · 1 filter

math.FA2017

A Complementary Inequality to the Information Monotonicity for Tsallis Relative Operator Entropy

H. R. Moradi, S. Furuichi

We establish a reverse inequality for Tsallis relative operator entropy involving a positive linear map. In addition, we present converse of Ando's inequality, for each parameter.…

math.FA2017★ 9 cited

A glimpse at the operator Kantorovich inequality

H. R. Moradi, I. H. Gümüş, Z. Heydarbeygi

We show the following result: Let be a positive operator satisfying for some scalars with and $Φ…

math.FA2017★ 2 cited

Sharpening Some Classical Numerical Radius Inequalities

H. R. Moradi, M. E. Omidvar, K. Shebrawi

New upper and lower bounds for the numerical radii of Hilbert space operators are given. Among our results, we prove that if is a hypo…

math.FA2017

Complementary Inequalities to Improved AM-GM Inequality

H. R. Moradi, M. E. Omidvar

Following an idea of Lin, we prove that if and be two positive operators such that , then \begin{equation*} {{Φ}^{2}}\left( \frac{A+B}{2…

math.FA2017

Estimates for Tsallis relative operator entropy

Hamid Reza Moradi, Shigeru Furuichi, Nicuşor Minculete

We give the tight bounds of Tsallis relative operator entropy by using Hermite-Hadamard's inequality. Some reverse inequalities related to Young inequalities are also given. In add…

math.FA2017★ 1 cited

Choi-Davis-Jensen's inequality without convexity

Jadranka Mićić, Hamid Reza Moradi, Shigeru Furuichi

We give the Choi-Davis-Jensen type inequality without using convexity. Applying our main results, we also give new inequalities improving previous known results. In particular, we…