Further refinements and reverses of squared Young-type inequalities with double weights

In this paper, we first present further improvement of squared Young-type inequalities with double weights and their reverses. As a consequence of our results, we show the reverses of main results obtained by Nasiri and Askari [Some refined Young-type inequalities using different weights, Asian-Eur. J. Math. 15 (2022) 7]. As a further application, we provide some related inequalities for unitarily invariant norms, traces, and determinants.