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010 _a 2019764872
020 _a9783319783376
024 7 _a10.1007/978-3-319-78337-6
_2doi
035 _a(DE-He213)978-3-319-78337-6
040 _aDLC
_beng
_epn
_erda
_cDLC
072 7 _aMAT034000
_2bisacsh
072 7 _aPBKB
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072 7 _aPBKB
_2thema
082 0 4 _a515.8
_223
100 1 _aNiculescu, Constantin P,
_eauthor.
245 1 0 _aConvex Functions and Their Applications :
_bA Contemporary Approach /
_cby Constantin P. Niculescu, Lars-Erik Persson.
250 _a2nd ed. 2018.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2018.
300 _a1 online resource (XVII, 415 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aCMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
_x1613-5237
505 0 _aConvex Functions on Intervals -- Convex Sets in Real Linear Spaces -- Convex Functions on a Normed Linear Space -- Convexity and Majorization -- Convexity in Spaces of Matrices -- Duality and Convex Optimization -- Special Topics in Majorization Theory -- A. Generalized Convexity on Intervals -- B. Background on Convex Sets -- C. Elementary Symmetric Functions -- D. Second Order Differentiability of Convex Functions -- E. The Variational Approach of PDE.
520 _aThis second edition provides a thorough introduction to contemporary convex function theory with many new results. A large variety of subjects are covered, from the one real variable case to some of the most advanced topics. The new edition includes considerably more material emphasizing the rich applicability of convex analysis to concrete examples. Chapters 4, 5, and 6 are entirely new, covering important topics such as the Hardy-Littlewood-Pólya-Schur theory of majorization, matrix convexity, and the Legendre-Fenchel-Moreau duality theory. This book can serve as a reference and source of inspiration to researchers in several branches of mathematics and engineering, and it can also be used as a reference text for graduate courses on convex functions and applications.
588 _aDescription based on publisher-supplied MARC data.
650 0 _aConvex geometry .
650 0 _aDiscrete geometry.
650 0 _aFunctional analysis.
650 0 _aFunctions of real variables.
650 1 4 _aReal Functions.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12171
650 2 4 _aConvex and Discrete Geometry.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M21014
650 2 4 _aFunctional Analysis.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12066
700 1 _aPersson, Lars-Erik,
_eauthor.
776 0 8 _iPrint version:
_tConvex functions and their applications.
_z9783319783369
_w(DLC) 2018935865
776 0 8 _iPrinted edition:
_z9783030086794
776 0 8 _iPrinted edition:
_z9783319783369
776 0 8 _iPrinted edition:
_z9783319783383
830 0 _aCMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
_x1613-5237
906 _a0
_bibc
_corigres
_du
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942 _2ddc
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999 _c449294
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