Open AccessInequalities for sector matrices with negative power
Author(s) -
Yangfei Gao
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2103845g
Subject(s) - mathematics , unital , combinatorics , power (physics) , inequality , discrete mathematics , pure mathematics , algebra over a field , mathematical analysis , physics , thermodynamics
In this paper, we present some inequalities for sector matrices with negative power. Among other results, we prove that if A,B ? Mn(C) with W(A),W(B) ? S?, then for any positive unital linear map ?, it holds R((1-v)?(A) + v?(B))r ? cos2r(?)R?((1-v)Ar + vBr), where v ? [0,1] and r ? [-1,0]. This improves Tan and Xie?s Theorem 2.4 in [22] if setting ?(X) = X for every X ? Mn(C) and replacing A by A-1, B by B-1, respectively, and r=-1, which is also a special result of Bedrani, Kittaneh and Sababheh?s Theorem 4.1 in [4].