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1. Extensions

2. The Algorithms

3. Version One: Linear Equality Constraints

4. Introduction. Approximating the Separable Problem

5. On the Solution of Multidimensional Convex Separable Continuous Knapsack Problem with Bounded Variables

6. Characterization of the Optimal Solution of the Convex Generalized Nonlinear Transportation Problem

7. Relaxation of the Equality Constrained Convex Continuous Knapsack Problem

8. Applications of Convex Separable Unconstrained Nondifferentiable Optimization to Approximation Theory

9. Well-Posedness of Optimization Problems

10. Version Two: Linear Constraint of the Form ''

11. Valid Inequalities, Cutting Planes, and Integrality of the Knapsack Polytope

12. Applications and Computational Experiments

13. About Projections in the Implementation of Stochastic Quasigradient Methods to Some Probabilistic Inventory Control Problems

14. Statement of the Main Problem. Basic Result

15. Separable Programming: A Dynamic Programming Approach

16. Convex Separable Programming

17. Preliminaries: Convex Analysis and Convex Programming

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