TY - JOUR
ID - 190461
TI - Tsallis relative operator entropy properties with some weighted metrics
JO - Journal of the Iranian Mathematical Society
JA - JIMS
LA - en
SN -
AU - A., El Hilali
AU - Chergui, M.
AD - LAGA-Laboratory, Science Faculty, Ibn Tofail University, Kenitra, Morocco
AD - Department of Mathematics, CRMEF-RSK, EREAM Team, LaREAMI-Lab, Kenitra, Morocco
Y1 - 2024
PY - 2024
VL - 5
IS - 1
SP - 55
EP - 69
KW - Tsallis relative operator entropy
KW - Hellinger metric
KW - Procrustes distance
KW - matrix means
DO - 10.30504/jims.2024.435111.1157
N2 - 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.
UR - https://jims.ims.ir/article_190461.html
L1 - https://jims.ims.ir/article_190461_bcf219e78a7d13377778da4a3f78ff6f.pdf
ER -