UPPER BOUND FOR SPECTRA OF JENSEN OPERATOR AND ITS APPLICATION TO REVERSE ARITHMETIC-GEOMETRIC MEANS

作者：Zuo, Hongliang^*; Fujii, Masatoshi; Fujii, Jun Ichi; Seo, Yuki

来源：Mathematical Inequalities & Applications, 2014, 17(2): 641-648.

DOI：10.7153/mia-17-47

• Jensen operator
• reverse arithmetic-geometric means
• Jensen's functional

In this paper we consider Jensen's operator, which includes bounded self-adjoint operator on Hilbert space, and establish the optimal upper bound for Jensen's operator by means of discrete Jensen's functional. The obtained results are applied to operator means, then we get refinements of numerous reverse arithmetic-geometric operators mean inequalities on Hilbert space.

• 出版日期2014-4
• 单位河南师范大学