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Extension of Jensen's Inequality for Operators without Operator Convexity

Authors
Publisher
Abstract and Applied Analysis
Publication Date
Disciplines
  • Mathematics

Abstract

We give an extension of Jensen's inequality for 𝑛 -tuples of self-adjoint operators, unital 𝑛 -tuples of positive linear mappings, and real-valued continuous convex functions with conditions on the operators' bounds. We also study operator quasiarithmetic means under the same conditions.

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