Open AccessImproved Young and Heinz operator inequalities with Kantorovich constant
Author(s) -
A. Beiranvand,
A. G. Ghazanfari
Publication year - 2021
Publication title -
ukraïnsʹkij matematičnij žurnal
Language(s) - English
Resource type - Journals
ISSN - 1027-3190
DOI - 10.37863/umzh.v73i1.901
Subject(s) - inequality , mathematics , hilbert space , operator (biology) , norm (philosophy) , constant (computer programming) , pure mathematics , algebra over a field , calculus (dental) , mathematical analysis , computer science , philosophy , medicine , chemistry , gene , biochemistry , dentistry , epistemology , repressor , transcription factor , programming language
UDC 517.9We present numerous refinements of the Young inequality by the Kantorovich constant. We use these improved inequalities to establish corresponding operator inequalities on a Hilbert space and some new inequalities involving the Hilbert – Schmidt norm of matrices.