id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-5586	Rashid, Mohammad H.M.; Mohammad Salameh, Wael Mahmoud 	New Improvements to Heron and Heinz Inequality Using Matrix Techniques	2025	21	.pdf	application/pdf	7705	462	79	= ∣∣∣∣∣∣∣∣∣∣∣∣(1− ϑ)T 1/2XS1/2 + ϑ ( TX +XS 2 )∣∣∣∣∣∣∣∣∣∣∣∣, (13) This definition involves matrices T , S, and X, subject to the conditions that T and S belong to the set of positive definite matrices in C, denoted as M++ n (C), and X is a member of the set of n× n matrices over C, denoted as Mn(C). Utilizations of the improved Young-type inequalities for traces, determinants, and norms of positive definite matrices In this section, we introduce a collection of improved Young-type inequalities designed specifically for traces, determinants, and norms of positive semi-definite matrices.	cache/ejpam-5586.pdf	txt/ejpam-5586.txt