Refined converses of Jensen’s inequality for operators

Springer Science and Business Media LLC - Tập 2013 - Trang 1-20 - 2013
Jadranka Mićić1, Josip Pečarić2, Jurica Perić3
1Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Zagreb, Croatia
2Faculty of textile technology, University of Zagreb, Zagreb, Croatia
3Faculty of Science, Department of Mathematics, University of Split, Split, Croatia

Tóm tắt

In this paper converses of a generalized Jensen’s inequality for a continuous field of self-adjoint operators, a unital field of positive linear mappings and real-valued continuous convex functions are studied. New refined converses are presented by using the Mond-Pečarić method improvement. Obtained results are applied to refine selected inequalities with power functions. MSC:47A63, 47A64.

Tài liệu tham khảo

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