In this chapter, we collect definitions, notational conventions and several results from convex analysis that may be helpful in better understanding the material covered in this manuscript. Proofs are provided only for selected results concerning the notion of log-convexity and the convergence of gradient projection algorithms. For other proofs, the reader is referred to any standard analysis book (e.g., [39]) and [160, 162, 16].
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© 2009 Springer-Verlag Berlin Heidelberg
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Stańczak, S., Wiczanowski, M., Boche, H. (2009). Some Concepts and Results from Convex Analysis. In: Fundamentals of Resource Allocation in Wireless Networks. Foundations in Signal Processing, Communications and Networking, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79386-1_8
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DOI: https://doi.org/10.1007/978-3-540-79386-1_8
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