More accurate operator means inequalities

On some general inequalities related to operator AM-GM inequality

“…4h with h = M m . The third lemma is a reverse of operator AM-GM inequality, which has been proved in [5,Theorem 1].…”

Revisiting the Grüss Inequality

“…Refining the operator AM-GM inequality has received a considerable interest in the literature, as one can see in [7,9,13,18]. In the next result, we present a new type of such refinements, where we employ Grüss inequality.…”

On further refinements for Young inequalities

“…In [3,5] we proved some sharp multiplicative reverses of Young's inequality. In this brief note, as the continuation of our previous works, we establish sharp bounds for the arithmetic, geometric and harmonic mean inequalities.…”