Some generalizations of Mercer inequality and its operator extensions
Abstract
We give a more general form of the Mercer inequality by replacing some constants by positive operators. As some consequences, our results produce a Jensen operator inequality for superquadratic functions. Moreover, we present some Mercer inequalities of Hermite–Hadamard’s type.
Fields of Study & Subjects
Mathematical Inequalities and Applications
Multi-Criteria Decision Making
Optimization and Variational Analysis
Publication details
- Journal / source
- Miskolc mathematical notes/Mathematical notes
- Volume
- 27
- Issue
- 1
- Pages
- 261–261
- Publication date
- 1 January 2026
- Language
- EN