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A variant of Jensen’s inequality of Mercer’s type for operators with applications
- Source :
-
Linear Algebra & its Applications . Oct2006, Vol. 418 Issue 2/3, p551-564. 14p. - Publication Year :
- 2006
-
Abstract
- Abstract: A variant of Jensen’s operator inequality for convex functions, which is a generalization of Mercer’s result, is proved. Obtained result is used to prove a monotonicity property for Mercer’s power means for operators, and a comparison theorem for quasi-arithmetic means for operators. [Copyright &y& Elsevier]
- Subjects :
- *REAL variables
*DIFFERENTIABLE functions
*MATHEMATICAL analysis
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 418
- Issue :
- 2/3
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 22372254
- Full Text :
- https://doi.org/10.1016/j.laa.2006.02.030