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检索条件"主题词=Generalized Convex Functions"
44 条 记 录,以下是21-30 订阅
A note on three-parameter families and generalized convex functions
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2007年 第2期330卷 829-835页
作者: Adamek, Miroslaw Gilanyi, Attila Nikodem, Kazimierz Pales, Zsolt Univ Debrecen Inst Math H-4010 Debrecen Hungary Univ Bielsko Biala Dept Math PL-43309 Bielsko Biala Poland
The concept of generalized convex functions introduced by Beckenbach [E.F. Beckenbach, generalized convex functions, Bull. Amer. Math. Soc. 43 (1937) 363-371] is extended to the two-dimensional case. Using three-param... 详细信息
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Strongly convex functions of higher order
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2011年 第2期74卷 661-665页
作者: Ger, Roman Nikodem, Kazimierz Univ Bielsko Biala Dept Math & Comp Sci PL-43309 Bielsko Biala Poland Silesian Univ Inst Math PL-40007 Katowice Poland
The notion of strongly n-convex functions with modulus c > 0 is introduced and investigated. Relationships between such functions and n-convex functions in the sense of Popoviciu as well as generalized convex funct... 详细信息
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Remarks on strongly convex functions
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AEQUATIONES MATHEMATICAE 2010年 第1-2期80卷 193-199页
作者: Merentes, Nelson Nikodem, Kazimierz Cent Univ Venezuela Escuela Matemat Caracas Venezuela Univ Bielsko Biala Dept Math & Comp Sci PL-43309 Bielsko Biala Poland
Some properties of strongly convex functions are presented. A characterization of pairs of functions that can be separated by a strongly convex function and a Hyers-Ulam stability result for strongly convex functions ... 详细信息
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On the functions with pseudoconvex sublevel sets and optimality conditions
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2008年 第2期345卷 964-974页
作者: Ivanov, Vsevolod I. Tech Univ Varna Dept Math Varna 9010 Bulgaria
A new class of generalized convex functions, called the functions with pseucloconvex sublevel sets, is defined. They include quasiconvex ones. A complete characterization of these functions is derived. Further, it is ... 详细信息
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NONDIFFERENTIABLE MULTIOBJECTIVE SECOND ORDER SYMMETRIC DUALITY WITH CONE CONSTRAINTS
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TAIWANESE JOURNAL OF MATHEMATICS 2008年 第8期12卷 1943-1964页
作者: Kim, Do Sang Lee, Yu Jung Lee, Hyo Jung Pukyong Natl Univ Dept Appl Math Pusan 608737 South Korea
We introduce two pairs of nondifferentiable multiobjective second order symmetric dual problems with cone constraints over arbitrary closed convex cones, which is different from the one proposed by Mishra and Lai [12]... 详细信息
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generalized second order symmetric duality in nondifferentiable multiobjective programming
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TAIWANESE JOURNAL OF MATHEMATICS 2007年 第3期11卷 745-764页
作者: Kim, Do Sang Lee, Hyo Jung Lee, Yu Jung Pukyong Natl Univ Dept Appl Math Pusan 608737 South Korea
We introduce a pair of multiobjective generalized second order symmetric dual programs where the objective function contains a support function. Weak, strong and converse duality theorems for these second order proble... 详细信息
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Minimax fractional programming under nonsmooth generalized (F, ρ, θ)-d-univexity
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2007年 第1期328卷 676-689页
作者: Zheng, X. J. Cheng, L. Zhejiang Normal Univ Sch Math Phys & Informat Engn Jinhua Zhejiang 321004 Peoples R China Jinhua Coll Profess & Technol Normal Sch Jinhua Zhejiang 321017 Peoples R China
In this paper, we are concerned with a nondifferentiable minimax fractional problem with inequality constraints. We introduce a new class of generalized convex function, that is, nonsmooth generalized (F, rho, theta)-... 详细信息
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Optimality conditions and duality for a class of nondifferentiable multi-objective fractional programming problems
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JOURNAL OF GLOBAL OPTIMIZATION 2007年 第4期38卷 653-666页
作者: Liu, Sanming Feng, Enmin Jiangsu Univ Sci & Technol Dept Math & Phys Zhenjiang 212003 Peoples R China Dalian Univ Technol Dept Appl Math Dalian Peoples R China
A class of multi-objective fractional programming problems (MFP) are considered where the involved functions are locally Lipschitz. In order to deduce our main results, we give the definition of the generalized (F,the... 详细信息
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Optimality conditions and duality for a class of nondifferentiable multi-objective fractional programming problems
Optimality conditions and duality for a class of nondifferen...
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International Workshop on Multilevel Optimization - Algorithms and Applications
作者: Liu, Sanming Feng, Enmin Jiangsu Univ Sci & Technol Dept Math & Phys Zhenjiang 212003 Peoples R China Dalian Univ Technol Dept Appl Math Dalian Peoples R China
A class of multi-objective fractional programming problems (MFP) are considered where the involved functions are locally Lipschitz. In order to deduce our main results, we give the definition of the generalized (F,the... 详细信息
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一类广义弧式凸函数的局部极小与整体极小的关系
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高等学校计算数学学报 2005年 第S1期 229-231页
作者: 王彩玲 王淑云 孙毅 吉林大学数学学院公共数学教学与研究中心 吉林大学数学学院公共数学教学与研究中心 长春 130012
1 引言凸函数有一重要性质,即局部极小必为整体极小.在对凸函数所做的各种推广中,关于局部极小与整体极小的关系问题讨论甚多.本文引进了一种新的广义凸函数,即所谓的弧式严格局部拟凸函数,并证明了一个定义在Rn中紧弧式连通集M上的... 详细信息
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