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010   $a3-319-78337-8
024 7 $a10.1007/978-3-319-78337-6
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035   $a(DE-He213)978-3-319-78337-6
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035   $a(PPN)229495125
035   $a(EXLCZ)993810000000358844
100   $a20180608d2018      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aConvex Functions and Their Applications$b[electronic resource] $eA Contemporary Approach /$fby Constantin P. Niculescu, Lars-Erik Persson
205   $a2nd ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018.
215   $a1 online resource (XVII, 415 p.) 
225 1 $aCMS Books in Mathematics, Ouvrages de mathématiques de la SMC,$x1613-5237
311   $a3-319-78336-X 
327   $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.
330   $aThis second edition provides a thorough introduction to contemporary convex function theory with many new results. A large variety of subjects are covered, from the one real variable case to some of the most advanced topics. The new edition includes considerably more material emphasizing the rich applicability of convex analysis to concrete examples. Chapters 4, 5, and 6 are entirely new, covering important topics such as the Hardy-Littlewood-Pólya-Schur theory of majorization, matrix convexity, and the Legendre-Fenchel-Moreau duality theory. This book can serve as a reference and source of inspiration to researchers in several branches of mathematics and engineering, and it can also be used as a reference text for graduate courses on convex functions and applications.
410  0$aCMS Books in Mathematics, Ouvrages de mathématiques de la SMC,$x1613-5237
606   $aFunctions of real variables
606   $aFunctional analysis
606   $aConvex geometry 
606   $aDiscrete geometry
606   $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aConvex and Discrete Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21014
615  0$aFunctions of real variables.
615  0$aFunctional analysis.
615  0$aConvex geometry .
615  0$aDiscrete geometry.
615 14$aReal Functions.
615 24$aFunctional Analysis.
615 24$aConvex and Discrete Geometry.
676   $a515.7
700   $aNiculescu$b Constantin P$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721175
702   $aPersson$b Lars-Erik$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300113903321
996   $aConvex Functions and Their Applications$91933896
997   $aUNINA