Abstract
In a recent work of the authors, we showed some general inequalities governing numerical radius inequalities using convex functions. In this article, we present results that complement the aforementioned inequalities. In particular, the new versions can be looked at as refined and generalized forms of some well-known numerical radius inequalities. Among many other results, we show that where A is a bounded linear operator on a Hilbert space having the Cartesian decomposition A = B + iC and is an increasing operator convex function. This result, for example, extends and refines a celebrated result by Kittaneh.
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