%0 Journal Article
%T Tsallis relative operator entropy properties with some weighted metrics
%J Journal of the Iranian Mathematical Society
%I Iranian Mathematical Society
%Z 2717-1612
%A A., El Hilali
%A Chergui, M.
%D 2024
%\ 01/01/2024
%V 5
%N 1
%P 55-69
%! Tsallis relative operator entropy properties with some weighted metrics
%K Tsallis relative operator entropy
%K Hellinger metric
%K Procrustes distance
%K matrix means
%R 10.30504/jims.2024.435111.1157
%X The present work attempts to provide some properties for Tsallis relative operator entropy $T_p(A | B)$, acting on positive definite matrices, with respect to weighted Hellinger and Alpha Procrustes distances. Many localizations of this operator have been determined. In particular, some estimations of the distances between $T_p(A | B)$ and some standard matrix means are outlined.
%U https://jims.ims.ir/article_190461_bcf219e78a7d13377778da4a3f78ff6f.pdf