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Convex Functions on a Normed Linear Space
Department of Mathematics, University of Craiova .
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science. UiT, The Artic University of Norway, Campus Narvik .
2018 (English)In: Duality and Convex Optimization, Cham: Springer, 2018, p. 107-184Chapter in book (Refereed)
Abstract [en]

Convex functions and their relatives are ubiquitous in a large variety of applications such as optimization theory, mass transportation, mathematical economics, and geometric inequalities related to isoperimetric problems. This chapter is devoted to a succinct presentation of their theory in the context of real normed linear spaces, but most of the illustrations will refer to the Euclidean space RN,">RN,RN, the matrix space MN(R)">MN(R)MN(R) of all N×N">N×NN×N-dimensional real matrices (endowed with the Hilbert–Schmidt norm or with the operator norm), and the Lebesgue spaces Lp(RN)">Lp(RN)Lp(RN) with p∈[1,∞]">p∈[1,∞]p∈[1,∞].

Place, publisher, year, edition, pages
Cham: Springer, 2018. p. 107-184
Series
CMS Books in Mathematics, ISSN 1613-5237
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-69632DOI: 10.1007/978-3-319-78337-6_3ISBN: 978-3-319-78336-9 (print)ISBN: 978-3-319-78337-6 (electronic)OAI: oai:DiVA.org:ltu-69632DiVA, id: diva2:1220252
Available from: 2018-06-18 Created: 2018-06-18 Last updated: 2018-06-18Bibliographically approved

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Persson, Lars-Erik

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