Abstract
The aim of this paper is to study the q-numerical radius of bounded linear operators on Hilbert spaces. More precisely, first, we show that defines a norm which is equivalent to the operator norm. Next, the following compatible generalization of Kittaneh's inequality is obtained. Finally, some generalizations of q-numerical radius inequalities for composition of operators are established.
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Correction Statement
This article has been corrected with minor changes. These changes do not impact the academic content of the article.