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Convexity and Majorization
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: Convex Functions and Their Applications: A Contemporary Approach, Cham: Springer, 2018, p. 185-226Chapter in book (Refereed)
Abstract [en]

This chapter is aimed to offer a glimpse on the majorization theory and the beautiful inequalities associated to it. Introduced by G. H. Hardy, J. E. Littlewood, and G. Pólya (Messenger Math. 58:145–152, (1929), [208]) in 1929, and popularized by their celebrated book on Inequalities (Hardy et al., Inequalities, Cambridge University Press, 1952, [209]), the relation of majorization has attracted along the time a big deal of attention not only from the mathematicians, but also from people working in various other fields such as statistics, economics, physics, signal processing, data mining, etc. Part of this research activity is summarized in the 900 pages of the recent book by A. W. Marshall, I. Olkin, and B. Arnold (Inequalities: theory of majorization and its applications. Springer, New York (2011), [305]).

Place, publisher, year, edition, pages
Cham: Springer, 2018. p. 185-226
Series
CMS Books in Mathematics, ISSN 1613-5237
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-69580DOI: 10.1007/978-3-319-78337-6_4ISBN: 978-3-319-78336-9 (print)ISBN: 978-3-319-78337-6 (electronic)OAI: oai:DiVA.org:ltu-69580DiVA, id: diva2:1219114
Available from: 2018-06-15 Created: 2018-06-15 Last updated: 2018-06-15Bibliographically approved

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Persson, Lars-Erik

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