Operator Inequalities of the Jensen, Čebyšev and Grüss Type - Softcover

Inhaltsangabe

-1. Functions of Selfadjoint Operators in Hilbert Spaces (Introduction, Bounded Selfadjoint Operators, Continuous Functions of Selfadjoint Operators, Step Functions of Selfadjoint Operators, The Spectral Decomposition of Selfadjoint Operators, References). -2. Inequalities of the Jensen Type ( Introduction, Reverses of the Jensen Inequality, Some Slater Type Inequalities, Other Inequalities for Convex Functions, Some Jensen Type Inequalities for Twice Differentiable Functions, Some Jensen's Type Inequalities for Log-convex Functions, Hermite-Hadamard's Type Inequalities, Hermite-Hadamard's Type Inequalities for Operator Convex Functions, References). -3. Inequalities of the Čebyšev and Grüss Type (Introduction, Čebyšev's Inequality, Grüss Inequality, More Inequalities of Grüss Type, More Inequalities for the Čebyšev Functional, Bounds for the Čebyšev Functional of Lipschitzian Functions, Quasi Grüss Type Inequalities, Two Operator Grüss Type Inequalities, References).

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