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PROBABILISTIC INEQUALITIES CONTENTS FRONT MATTER George A. Anastassiou i Introduction George A. Anastassiou 1 Basic Stochastic Ostrowski Inequalities George A. Anastassiou 3 Multidimensional Montgomery Identities and Ostrowski type Inequalities George A. Anastassiou 15 General Probabilistic Inequalities George A. Anastassiou 31 About Grothendieck Inequalities George A. Anastassiou 39 Basic Optimal Estimation of Csiszar's f-Divergence George A. Anastassiou 45 Approximations via Representations of Csiszar's f-Divergence George A. Anastassiou 55 Sharp High Degree Estimation of Csiszar's f-Divergence George A. Anastassiou 73 Csiszar's f-Divergence as a Measure of Dependence George A. Anastassiou 101 Optimal Estimation of Discrete Csiszar f-Divergence George A. Anastassiou 117 About a General Discrete Measure of Dependence George A. Anastassiou 135 Hölder-Like Csiszar's f-Divergence Inequalities George A. Anastassiou 155 Csiszar's Discrimination and Ostrowski Inequalities via Euler-type and Fink Identities George A. Anastassiou 161 Taylor-Widder Representations and Grüss, Means, Ostrowski and Csiszar's Inequalities George A. Anastassiou 173 Representations of Functions and Csiszar's f-Divergence George A. Anastassiou 193 About General Moment Theory George A. Anastassiou 215 Extreme Bounds on the Average of a Rounded off Observation under a Moment Condition George A. Anastassiou 227 Moment Theory of Random Rounding Rules Subject to One Moment Condition George A. Anastassiou 239 Moment Theory on Random Rounding Rules Using Two Moment Conditions George A. Anastassiou 249 Prokhorov Radius Around Zero Using Three Moment Constraints George A. Anastassiou 263 Precise Rates of Prokhorov Convergence Using Three Moment Conditions George A. Anastassiou 269 On Prokhorov Convergence of Probability Measures to the Unit under Three Moments George A. Anastassiou 277 Geometric Moment Methods Applied to Optimal Portfolio Management George A. Anastassiou 301 Discrepancies Between General Integral Means George A. Anastassiou 331 Grüss Type Inequalities Using the Stieltjes Integral George A. Anastassiou 345 Chebyshev-Grüss Type and Difference of Integral Means Inequalities Using the Stieltjes Integral George A. Anastassiou 355 An Expansion Formula George A. Anastassiou 373 Integration by Parts on the Multidimensional Domain George A. Anastassiou 379 BACK MATTER George A. Anastassiou 395 Back

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