Optimization and Approximation

LINEAR PROBLEMS. Examples of Linear Approximation and Optimization Problems. The General Linear Optimization Problem. Existence and Duality Theorems. Applications. CONVEX PROBLEMS. Examples of Convex Approximation and Optimization Problems. Convex Functions. The General Convex Optimization Problem: Existence and Duality Theorems. Min-sup, Max-inf and Saddle Point Theorems. Application to Approximation Problems. Convex Optimization Problems in Function Spaces. NONLINEAR PROBLEMS. Some Examples of Nonlinear Approximation and Optimization Problems. Minimizing Convex Functionals on Arbitrary Sets. Nonlinear Optimization With an Infinite Number of Side Conditions. APPENDIX: MATHEMATICAL AIDS. Convex Cones and Linear Mappings. Properties of Convex Cones and Representation of Positive Linear Forms. Convex Sets. Index.Krabs, W. is the author of 'Optimization and Approximation' with ISBN 9780471997412 and ISBN 0471997412.