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Convex Sets and Convex Functions

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Abstract

Because of their useful properties, the notions of convex sets and convex functions find many uses in the various areas of Applied Mathematics. We begin with the basic definition of a convex set in n-dimensional Euclidean Space (En), where points are ordered n-tuples of real numbers such as x’ = (x1, x2,…, xn) and y’ = (y1, y2,…,yn).

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© 1979 Springer-Verlag New York Inc.

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Meyer, R.M. (1979). Convex Sets and Convex Functions. In: Essential Mathematics for Applied Fields. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8072-6_18

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  • DOI: https://doi.org/10.1007/978-1-4613-8072-6_18

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90450-4

  • Online ISBN: 978-1-4613-8072-6

  • eBook Packages: Springer Book Archive

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