LEADER 04428nam 2200709 a 450 001 9910461345703321 005 20200520144314.0 010 $a1-283-16634-8 010 $a9786613166340 010 $a3-11-025021-7 024 7 $a10.1515/9783110250213 035 $a(CKB)2670000000088767 035 $a(EBL)690643 035 $a(OCoLC)723945523 035 $a(SSID)ssj0000530390 035 $a(PQKBManifestationID)11338674 035 $a(PQKBTitleCode)TC0000530390 035 $a(PQKBWorkID)10561275 035 $a(PQKB)10276954 035 $a(MiAaPQ)EBC690643 035 $a(DE-B1597)114002 035 $a(OCoLC)754713662 035 $a(OCoLC)840446286 035 $a(DE-B1597)9783110250213 035 $a(Au-PeEL)EBL690643 035 $a(CaPaEBR)ebr10486547 035 $a(CaONFJC)MIL316634 035 $a(EXLCZ)992670000000088767 100 $a20100910d2011 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOptimization in function spaces$b[electronic resource] $ewith stability considerations in Orlicz spaces /$fPeter Kosmol, Dieter Mu?ller-Wichards 210 $aBerlin ;$aNew York $cDe Gruyter$d2011 215 $a1 online resource (404 p.) 225 1 $aDe Gruyter series in nonlinear analysis and applications,$x0941-813X ;$v13 300 $aDescription based upon print version of record. 311 $a3-11-025020-9 320 $aIncludes bibliographical references and index. 327 $t Frontmatter -- $tPreface -- $tContents -- $t1 Approximation in Orlicz Spaces -- $t2 Polya Algorithms in Orlicz Spaces -- $t3 Convex Sets and Convex Functions -- $t4 Numerical Treatment of Non-linear Equations and Optimization Problems -- $t5 Stability and Two-stage Optimization Problems -- $t6 Orlicz Spaces -- $t7 Orlicz Norm and Duality -- $t8 Differentiability and Convexity in Orlicz Spaces -- $t9 Variational Calculus -- $tBibliography -- $tList of Symbols -- $tIndex 330 $aThis is an essentially self-contained book on the theory of convex functions and convex optimization in Banach spaces, with a special interest in Orlicz spaces. Approximate algorithms based on the stability principles and the solution of the corresponding nonlinear equations are developed in this text. A synopsis of the geometry of Banach spaces, aspects of stability and the duality of different levels of differentiability and convexity is developed. A particular emphasis is placed on the geometrical aspects of strong solvability of a convex optimization problem: it turns out that this property is equivalent to local uniform convexity of the corresponding convex function. This treatise also provides a novel approach to the fundamental theorems of Variational Calculus based on the principle of pointwise minimization of the Lagrangian on the one hand and convexification by quadratic supplements using the classical Legendre-Ricatti equation on the other. The reader should be familiar with the concepts of mathematical analysis and linear algebra. Some awareness of the principles of measure theory will turn out to be helpful. The book is suitable for students of the second half of undergraduate studies, and it provides a rich set of material for a master course on linear and nonlinear functional analysis. Additionally it offers novel aspects at the advanced level. From the contents: Approximation and Polya Algorithms in Orlicz Spaces Convex Sets and Convex Functions Numerical Treatment of Non-linear Equations and Optimization Problems Stability and Two-stage Optimization Problems Orlicz Spaces, Orlicz Norm and Duality Differentiability and Convexity in Orlicz Spaces Variational Calculus 410 0$aDe Gruyter series in nonlinear analysis and applications ;$v13. 606 $aStability$xMathematical models 606 $aMathematical optimization 606 $aOrlicz spaces 608 $aElectronic books. 615 0$aStability$xMathematical models. 615 0$aMathematical optimization. 615 0$aOrlicz spaces. 676 $a515/.392 686 $aSK 600$2rvk 700 $aKosmol$b Peter$01055406 701 $aMu?ller-Wichards$b D$g(Dieter),$f1946-$01055407 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910461345703321 996 $aOptimization in function spaces$92488774 997 $aUNINA LEADER 03069nam 2200613 a 450 001 9910792253703321 005 20230721015419.0 010 $a1-281-51533-7 010 $a9786611515331 010 $a0-19-153639-3 035 $a(CKB)2560000000298958 035 $a(EBL)415050 035 $a(OCoLC)476239523 035 $a(SSID)ssj0000251938 035 $a(PQKBManifestationID)11237344 035 $a(PQKBTitleCode)TC0000251938 035 $a(PQKBWorkID)10171195 035 $a(PQKB)11779508 035 $a(StDuBDS)EDZ0000021560 035 $a(MiAaPQ)EBC415050 035 $a(Au-PeEL)EBL415050 035 $a(CaPaEBR)ebr10237104 035 $a(CaONFJC)MIL151533 035 $a(MiAaPQ)EBC7039075 035 $a(Au-PeEL)EBL7039075 035 $a(EXLCZ)992560000000298958 100 $a20080423d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 12$aA stranger in Europe$b[electronic resource] $eBritain and the EU from Thatcher to Blair /$fStephen Wall 210 $aOxford ;$aNew York $cOxford University Press$d2008 215 $a1 online resource (245 p.) 300 $aIncludes index. 311 $a0-19-928455-5 311 $a0-19-170030-4 327 $aContents; Abbreviations; 1. The Start of a Troubled Relationship; 2. The Dynamics of a Deal; 3. European Union or European Unity? The Campaign for the Single Market; 4. The Single European Act and Economic and Monetary Union; 5. The Euro and Union: Thatcher, Major, and Fin de Re?gime; 6. At the Heart of Europe: The Road to the Maastricht Treaty; 7. Success Turned Sour: From Maastricht to Mad Cow Disease; 8. "A New Dawn has Broken has it Not?" New Labour and the European Union; 9. How the British Government's European Policy is Made; 10. A Stranger in Europe; Index; A; B; C; D; E; F; G; H; I; J 327 $aKL; M; N; O; P; Q; R; S; T; U; V; W; Y; Z 330 $aThis is the story of how British governments have wrestled with policy towards the European Union, written by someone who worked closely with many of Britain's political leaders in shaping an often fraught but always full-frontal relationship between Britain and her European partners. - ;For over twenty years, at the heart of Whitehall, Sir Stephen Wall worked for British leaders as they shaped Britain's European policy: Margaret Thatcher fighting to get 'her money back'; John Major at Maastricht where the single European currency was born; Tony Blair negotiating the Amsterdam, Nice and Consti 607 $aGreat Britain$xForeign relations$y1979-1997 607 $aGreat Britain$xForeign relations$y1997- 607 $aGreat Britain$xForeign relations$zEuropean Union countries 607 $aEuropean Union countries$xForeign relations$zGreat Britain 676 $a327.410409045 700 $aWall$b Stephen$f1947-$0202273 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910792253703321 996 $aA stranger in Europe$93783727 997 $aUNINA