Ivelić, S.; Matković, A.; Pečarić, J. On a Jensen-Mercer operator inequality. (English) Zbl 1221.47031 Banach J. Math. Anal. 5, No. 1, 19-28 (2011). The Jensen-Mercer operator inequality has been proved by the authors in [Linear Algebra Appl. 418, No. 2–3, 551–564 (2006; Zbl 1105.47017)]. In the present paper, the authors obtain a general formulation of the Jensen-Mercer operator inequality. In fact, they obtain the Jensen-Mercer operator inequality for operator convex functions, for continuous fields of operators and for unital fields of positive linear mappings. Then the authors obtain an upper global bound of Jensen’s operator functional as an application of the result. Reviewer: Takeaki Yamazaki (Kawagoe) Cited in 12 Documents MSC: 47A63 Linear operator inequalities 47A64 Operator means involving linear operators, shorted linear operators, etc. Keywords:Jensen-Mercer operator inequality; operator convex functions; continuous fields of operators; Jensen’s operator functional; quasi-arithmetic operator means Citations:Zbl 1105.47017 PDFBibTeX XMLCite \textit{S. Ivelić} et al., Banach J. Math. Anal. 5, No. 1, 19--28 (2011; Zbl 1221.47031) Full Text: DOI EMIS