同类推荐
-
-
超简单的微积分
-
¥39.80
-
-
凸分析
-
¥68.00
-
-
变分方法与非线性发展方程
-
¥138.00
-
-
半经典分析
-
¥169.00
-
-
易懂的Lebesgue测度与积分导引
-
¥99.00
-
-
微积分学习指导教程
-
¥29.00
-
-
非线性序列
-
¥118.00
-
-
广义三角函数与双曲函数:英文
-
¥78.00
-
-
常微分方程
-
¥69.00
-
-
Hilbert空间中的线性和拟线性发展方程
-
¥169.00
|
|
图书信息
|
|
|
抽象凸分析:英文
|
ISBN: | 9787560391557 |
定价: | ¥68.00 |
作者: | (罗)伊凡·辛格(Ivan Singer)著 |
出版社: | 哈尔滨工业大学出版社 |
出版时间: | 2020年11月 |
开本: | 24cm |
页数: | 15,519页 |
中图法: | O174.13 |
相关供货商
供货商名称
|
库存量
|
库区
|
更新日期
|
|
|
|
|
其它供货商库存合计
|
189
|
|
2024-04-23
|
图书简介 | 本书主要包括从凸分析到抽象凸分析、一个完整格的元素的抽象凸性、集合子集的抽象凸性、集上函数的抽象凸性、完全晶格之间的对偶性、晶格族之间的对偶、函数集合之间的对偶性、抽象的次微分等内容,也包含了关于当代抽象凸分析最先进且详尽的考查。 |
目录 | Forewordr Prefacer Introduction: From Convex Analysis to Abstract Convex Analysisr 0.1 Abstract Convexity of Setsr 0.1a Inner Approachesr 0.1b Intersectional and Separational Approachesr 0.1c Approaches via Convexity Systems and Hull Operatorsr 0.2 Abstract Convexity of Functionsr 0.3 Abstract Convexity of Elements of Complete Latticesr 0.4 Abstract Quasi-Convexity of Functionsr 0.5 Dualitiesr 0,6 Abstract Conjugationsr 0.7 Abstract Subdifferentialsr 0.8 Some Applications of Abstract Convex Analysis to Optimizationr Theoryr 0.Sa Applications to Abstract Lagrangian Dualityr 0.8b Applications to Abstract Surrogate Dualityr Chapter One Abstract Convexity of Elements of a Complete Latticer 1.1 The Main (Supremal) Approach: M-Convexity of Elements of ar Complete Lattice E, Where M c Er 1.2 lnfimal and Supremal Generators and M-Convexityr 1.3 An Equivalent Approach: Convexity Systemsr 1.4 Another Equivalent Approach: Convexity with Respect to a Hullr Operatorr Chapter Two Abstract Convexity of Subsets of a Setr 2.1 M-Convexity of Subsets of a Set X, Where M c 2xr 2.2 Some Particular Casesr 2.2a Convex Subsets of a Linear Space Xr 2.2b Closed Convex Subsets of a Locally Convex Space Xr 2.2c Evenly Convex Subsets of a Locally Convex Space Xr 2.2d Closed Affine Subsets of a Locally Convex Space Xr 2.2e Evenly Coaffine Subsets of a Locally Convex Space Xr 2.2f Spherically Convex Subsets of a Metric Space Xr 2.2g Closed Subsets of a Topological Space Xr 2.2h Order Ideals and Order Convex Subsets of a Poset Xr 2.2i Parametrizations of Families □(数理化公式) Where Xr Is a Setr 2.3 An Equivalent Approach, via Separation by Functions:r W-Convexity of Subsets of a Set X, Where □(数理化公式)r 2.4 A Particular Case: Closed Convex Sets Revisitedr 2.5 Other Concepts of Convexity of Subsets of a Set X, with Respectr to a Set of Functions □(数理化公式)r 2.6 (W, □(数理化公式))-Convexity of Subsets of a Set X, Where W Is a Set andr □(数理化公式)R Is a Coupling Functionr Chapter Three Abstract Convexity of Functions on a Setr 3.1 W-Convexity of Functions on a Set X, Where □(数理化公式)r 3.2 Some Particular Casesr 3.2a C(X* + R), Where X Is a Locally Convex Spacer 3.2b C(X*), Where X Is a Locally Convex Spacer 3.2c The Case Where X = {0, 1}n and W□(数理化公式)r 3.2d The Case Where X = {0, 1}n and W □(数理化公式)r 3.2e ot-Ho1der Continuous Functions with Constant N,r Where0 □(数理化公式)r 3.2f Suprema of Ho1der Continuous Functions, Wherer □(数理化公式)r 3.2g The Case Where □(数理化公式)r 3.3 (W, →o)-ConvexityofFunctions on a Set X, Where W Is a Set andr □(数理化公式)R Is a Coupling Functionr Chapter Four Abstract Quasi-Convexity of Functions on a Setr 4.1 M-Quasi-Convexity of Functions on a Set X, Where □(数理化公式)r 4.2 Some Particular Casesr 4.2a Quasi-Convex Functions on a Linear Space Xr 4.2b Lower Semicontinuous Quasi-Convex Functions on ar Locally Convex Space Xr 4.2c Evenly Quasi-Convex Functions on a Locally Convexr Space Xr 4.2d Evenly Quasi-Coaffine Functions on a Locally Convexr Space Xr 4.2e Lower Semicontinuous Functions on a Topologicalr Space Xr 4.2f Nondecreasing Functions on a Poset Xr 4.3 An Equivalent Approach: W-Quasi-Convexity of Functions on ar □(数理化公式)r 4.4 Relations Between W-Convexity and W-Quasi-Convexity ofr Functions on a Set X, Where W □(数理化公式)r 4.5 Some Particular Casesr 4.5a Lower Semicontinuous Quasi-Convex Functionsr Revisitedr 4.5b Evenly Quasi-Convex Functions Revisitedr 4.5c Evenly Quasi-Coaffine Functions Revisitedr 4.6 (W, →0)-Quasi-Convexity of Functions on a Set X, Where W Is ar Set and □(数理化公式) : X x W → R Is a Coupling Functionr 4.7 Other Equivalent Approaches: Quasi-Convexity of Functions onr a Set X, with Respect to Convexity Systems/3 c 2x and Hullr Operators u : 2x → 2xr 4.8 Some Characterizations of Quasi-Convex Hull Operatorsr among Hull Operators on □(数理化公式)r Chapter Five Dualities Between Complete Latticesr 5.1 Dualities and lnfimal Generatorsr 5.2 Duals of Dualitiesr 5.3 Relations Between Dualities and M-Convex Hullsr 5.4 Partial Order and Lattice Operations for Dualitiesr Chapter Six Dualities Between Families of Subsetsr 6.1 DualitiesA :2x → 2w, Where X and W Are Two Setsr 6.2 Some Particular Casesr 6.2a Some Minkowski-Type Dualitiesr 6.2b Some Dualitietained from the Minkowski-Typer Dualities AM, by Parametrizing the Family Mr 6.3 Representations of Dualities A : 2x → 2w with the Aid ofr Subsets □(数理化公式) of X → W and Coupling Functions □(数理化公式) : X → W → r 6.4 Some Particular Casesr 6.4a Representations with the Aid of Subsets f2 of X X Wr 6.4b Representations with the Aid of Coupling Functionsr □(数理化公式)r Chapter Seven Dualities Between Sets of Functionsr 7.1 Dualities A □(数理化公式) Where X and W Are Two Setsr 7.2 Representations of Dualities A : Ax → F, Where X Is a Setr and □(数理化公式) and F Are Complete Latticesr 7.3 Dualities A : Ax → Bw, Where X Is a Set and (A, |
|