L-convexity L-convex functions and M-convex functionsL-convexityM-convexity L-convex functions and M-convex functionsM-convexitydiscrete convex analysis L-convex functions and M-convex functionsdiscrete convex analysissubmodular functionmatroid L-convex functions and M-convex functionsmatroid...
Keywords Definitions of L- and M-Convexity L-Convex Sets M-Convex Sets Properties of L-Convex Functions Properties of M-Convex Functions L♮- and M♮-Convexity Duality Network Duality Subdifferentials Algorithms Applications See also References
As a consequence of (M-EXC)( the e)ective domain of an M-convex function f lies on a hyperplane {x∈RV|x(V)=r} for some integer r, and accordingly,we may consider the projection of f along a coordinate axis.This means that, instead of the function f in n=|V|variables,we may...
Here we show another role of polyhedral L-/M-convex functions: every closed L-/M-convex function in continuous variables can be approximated by polyhedral L-/M-convex functions, uniformly on every compact set. The proof relies on L-M conjugacy under Legendre-Fenchel transformation. 展开 ...
关键词: Discrete optimization Matroid Base polyhedron Quadratic function DOI: 10.1016/j.aam.2003.11.001 被引量: 22 年份: 2004 收藏 引用 批量引用 报错 分享 全部来源 免费下载 求助全文 全文购买 Elsevier (全网免费下载) Elsevier (全网免费下载) Elsevier Ingenta dx.doi.org 查看更多 ...
(α, m1)-(s, m2) convex functionCo-ordinatesHermite–Hadamard type inequality26A5126D1526D2026E6041A55In the paper, the authors establish some integral inequalities of the Hermite–Hadamard type for co-ordinated ( a, m1 )-( s, m2 )-convex functions on co-ordinates on a rectangle of...
A function is said to be convex if, for , , . A convex function is also defined by the Hermite–Hadamard inequality stated as follows: We recall the definition of refined -convex function as follows.Definition 1([25])Let be an interval containing , and let be a nonnegative function. A...
关键词: Hermite-Hadamard's inequality α m)-convex function Integral inequality 被引量: 1 年份: 2012 收藏 引用 批量引用 报错 分享 全部来源 求助全文 知网 来源期刊 Journal of Inner Mongolia University for Nationalities(Natural Sciences) 2012-06 研究点推荐 Hermite-hadamard type inequatlity ...
Hermite-Hadamard Type Inequalities for the Product of $(\\alpha, m)$-Convex Function In the paper, the authors establish some Hermite-Hadamard type inequalities for the product of two $(\\alpha, m)$-convex functions. HP Yin,F Qi - 《Missouri Journal of Mathematical Sciences》 被引量: 6...
Castaing, C., Valadier, M.: Convex Analysis and Measurable Multifunctions. Lecture Notes in Mathematics, vol. 580. Springer, Berlin (1977) Google Scholar Chu, H.Y., Kim, A., Yoo, S.K.: On the stability of the generalized cubic set-valued functional equation. Appl. Math. Lett. 37...