On some operator inequalities with respect to the \(s\)-convexity. (English) Zbl 07796966
Summary: In this paper, we extend the concept of \(s\)-convexity from the case where the functions are with real variables to the case where the functions are with operator arguments. Afterwards, we investigate some related properties and operator inequalities. As an application, some inequalities of Hermite-Hadamard and Jensen types involving some operator means are established.
MSC:
| 26D15 | Inequalities for sums, series and integrals |
| 47-XX | Operator theory |
| 54C70 | Entropy in general topology |
| 94A17 | Measures of information, entropy |
| 47A63 | Linear operator inequalities |
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