A variant of Jensen’s inequality of Mercer’s type for operators with applications
Copyright policy )A variant of Jensen’s inequality of Mercer’s type for operators with applications
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.
quasi-arithmetic means, Monotonicity, Numerical Analysis, Algebra and Number Theory, quasiarithmetic means, Jensen's operator inequality; monotonicity; power means; quasi-arithmetic means, Jensen’s operator inequality, monotonicity, Jensen's operator inequality, Operator means involving linear operators, shorted linear operators, etc., Power means, Quasi-arithmetic means, Discrete Mathematics and Combinatorics, power means, Linear operator inequalities, Geometry and Topology
quasi-arithmetic means, Monotonicity, Numerical Analysis, Algebra and Number Theory, quasiarithmetic means, Jensen's operator inequality; monotonicity; power means; quasi-arithmetic means, Jensen’s operator inequality, monotonicity, Jensen's operator inequality, Operator means involving linear operators, shorted linear operators, etc., Power means, Quasi-arithmetic means, Discrete Mathematics and Combinatorics, power means, Linear operator inequalities, Geometry and Topology
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