Evaluation Functionals are the Extreme Points of a Basis for the Dual de C1+ [a,b]
作者： A. R. da Silva
DOI: 10.1007/978-3-642-46618-2_4
关键词:
摘要: We show via a Sobolev’s imbedding theorem that the evaluation functionals are extreme points of basis for dual cone formed by real non-negative continuously differentiable functions on bounded closed interval.
springer.com
sci-hub.st 参考文章(5)
Graham Jameson, Ordered linear spaces Lecture Notes in Mathematics. pp. 1- 39 ,(1970) , 10.1007/BFB0059132
Erich Bohl, Monotonie : Lösbarkeit und Numerik bei Operatorgleichungen Springer Berlin Heidelberg. ,(1974) , 10.1007/978-3-642-65622-4
John Tate, On the relation between extremal points of convex sets and homomorphisms of algebras Communications on Pure and Applied Mathematics. ,vol. 4, pp. 31- 32 ,(1951) , 10.1002/CPA.3160040105
J. Jahn, Parametric approximation problems arising in vector optimization Journal of Optimization Theory and Applications. ,vol. 54, pp. 503- 516 ,(1987) , 10.1007/BF00940199
Graham Jameson, Ordered linear spaces Lecture Notes in Mathematics. ,(1970) , 10.1007/BFB0059130