
Operator Inequalities of Ostrowski and Trapezoidal Type
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Content
1. Background for Functions of Selfadjoint Operators(Introduction, Bounded Selfadjoint Operators, Continuous Functions of Selfadjoint Operators, Step Functions of Selfadjoint Operators, The Spectral Representation of Selfadjoint Operators, References).-2. Inequalities of Ostrowski Type (Introduction, Scalar Ostrowski's Type Inequalities, Ostrowski's type Inequalities for Holder Continuous Functions, Other Ostrowski Inequalities for Continuous Functions, More Ostrowski's Type Inequalities, Some Vector Inequalities for Monotonic Functions, Ostrowski's Type Vector Inequalities, Bound for the Difference Between Functions and Integral Means, Ostrowski's Type Inequalities for n-Time Differentiable Functions, References).-3. Inequalities of Trapezoid Type(Introduction, Scalar Trapezoidal Type Inequalities, Trapezoidal Vector Inequalities, Generalized Trapezoidal Inequalities, More Generalized Trapezoidal Inequalities, Product Inequalities, References).
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