Abstract:
In this paper authors will prove generalization of the Lah–Ribarič inequality for sequences of selfadjoint operators in Hilbert space. They will also give further improvement of the same inequality and bounds for difference between its sides. This improvement will likewise result with more accurate bounds for the gap in the Jensen tensorial inequality for sequences of selfadjoint operators.
Key words and phrases:jensen's inequality, Edmundson–Lah–Ribarič inequality, convex functions, tensorial product, selfadjoint operators.
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