I. Introduction and Preliminaries.- II. Weak Duality.- III. Applications of Weak Duality in Uniform Approximation.- IV. Duality Theory.- V. The Simplex Algorithm.- VI. Numerical Realization of The Simplex Algorithm.- VII. A General Three-Phase Algorithm.- VIII. Approximation Problems by Chebyshev Systems.- IX. Examples and Applications of Semi-Infinite Programming.- References.
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