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DOI: 10.23952/jnfa.2026.27
Received February 25, 2026; Accepted September 13, 2026; Published October 27, 2026
Abstract. The positivity of block matrices play a vital role in establishing logical relationships among their block entries. Building on this foundation, we delve deeper into this topic by proving several new relations involving these blocks’ images under increasing and concave functions. Our findings lead to refined norm inequalities, offering enhanced versions of some known results in the literature.
How to Cite this Article:
H.R. Moradi, S. Furuichi, M. Sababheh, Functional matrix inequalities via block matrices, J. Nonlinear Funct. Anal. 2026 (2026) 27.