Abstract
Convex functions, which lie at the heart of modern optimization, are introduced in this chapter. We study operations that preserve convexity and the interplay between various continuity properties.
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14 January 2020
The original version of this book was inadvertently published without updating the following corrections in Chapters 1, 2, 3, 6–13, 17, 18, 20, 23, 24, 26, 29, 30 and back matter. These are corrected now.
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© 2017 Springer International Publishing AG
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Bauschke, H.H., Combettes, P.L. (2017). Convex Functions. In: Convex Analysis and Monotone Operator Theory in Hilbert Spaces. CMS Books in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-48311-5_8
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DOI: https://doi.org/10.1007/978-3-319-48311-5_8
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-319-48311-5
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