Conditions so that a vector belongs to a convex hull are obtained. Multilinear convex functions are considered. If these maps are defined on a convex set, it is obtained the algebraic expression. As an application, infinite games, with linear convex payoff, are studied.
Published in | Pure and Applied Mathematics Journal (Volume 3, Issue 2) |
DOI | 10.11648/j.pamj.20140302.13 |
Page(s) | 40-48 |
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2014. Published by Science Publishing Group |
Convex, Linear, Game
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APA Style
Franco Fineschi, Giovanni Quaranta. (2014). A Convex Hull’ Characterization. Pure and Applied Mathematics Journal, 3(2), 40-48. https://doi.org/10.11648/j.pamj.20140302.13
ACS Style
Franco Fineschi; Giovanni Quaranta. A Convex Hull’ Characterization. Pure Appl. Math. J. 2014, 3(2), 40-48. doi: 10.11648/j.pamj.20140302.13
AMA Style
Franco Fineschi, Giovanni Quaranta. A Convex Hull’ Characterization. Pure Appl Math J. 2014;3(2):40-48. doi: 10.11648/j.pamj.20140302.13
@article{10.11648/j.pamj.20140302.13, author = {Franco Fineschi and Giovanni Quaranta}, title = {A Convex Hull’ Characterization}, journal = {Pure and Applied Mathematics Journal}, volume = {3}, number = {2}, pages = {40-48}, doi = {10.11648/j.pamj.20140302.13}, url = {https://doi.org/10.11648/j.pamj.20140302.13}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20140302.13}, abstract = {Conditions so that a vector belongs to a convex hull are obtained. Multilinear convex functions are considered. If these maps are defined on a convex set, it is obtained the algebraic expression. As an application, infinite games, with linear convex payoff, are studied.}, year = {2014} }
TY - JOUR T1 - A Convex Hull’ Characterization AU - Franco Fineschi AU - Giovanni Quaranta Y1 - 2014/05/20 PY - 2014 N1 - https://doi.org/10.11648/j.pamj.20140302.13 DO - 10.11648/j.pamj.20140302.13 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 40 EP - 48 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.20140302.13 AB - Conditions so that a vector belongs to a convex hull are obtained. Multilinear convex functions are considered. If these maps are defined on a convex set, it is obtained the algebraic expression. As an application, infinite games, with linear convex payoff, are studied. VL - 3 IS - 2 ER -