Mohammad Sal, Moslehian, Jun Ichi Fujii
Abstract
In this paper we introduce the notion of weak 2 -positivity and present some examples.We establish some operator Cauchy-Schwarz inequalities involving the geometric mean and give some applications.In particular, we present some operator versions of Hua's inequality by using the Choi-Davis-Jensen inequality.
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In this paper we introduce the notion of weak 2 -positivity and present some examples.We establish some operator Cauchy-Schwarz inequalities involving the geometric mean and give some applications.In particular, we present some operator versions of Hua's inequality by using the Choi-Davis-Jensen inequality.
Key concepts: Mathematics, Inequality, Operator (biology), Pure mathematics, Algebra over a field, Calculus (dental), Mathematical analysis, Medicine