Convexity in real analysis Export

@article{citeulike:5695589, abstract = {We treat the classical notion of convexity in the context of hard realanalysis. Definitions of the concept are given in terms of defining functionsand quadratic forms, and characterizations are provided of different concretenotions of convexity. This analytic notion of convexity is related to moreclassical geometric ideas. Applications are given both to analysis andgeometry.}, archivePrefix = {arXiv}, author = {Krantz, Steven G.}, citeulike-article-id = {5695589}, citeulike-linkout-0 = {http://arxiv.org/abs/0908.4437}, citeulike-linkout-1 = {http://arxiv.org/pdf/0908.4437}, day = {31}, eprint = {0908.4437}, keywords = {analysis\_classical, convex, convexity, geometry}, month = {Aug}, posted-at = {2009-09-02 09:15:22}, priority = {2}, title = {Convexity in real analysis}, url = {http://arxiv.org/abs/0908.4437}, year = {2009} }

TY - JOUR ID - citeulike:5695589 L3 - citeulike-article-id:5695589 N2 - We treat the classical notion of convexity in the context of hard realanalysis. Definitions of the concept are given in terms of defining functionsand quadratic forms, and characterizations are provided of different concretenotions of convexity. This analytic notion of convexity is related to moreclassical geometric ideas. Applications are given both to analysis andgeometry. TI - Convexity in real analysis KW - analysis_classical KW - convex KW - convexity KW - geometry AU - Krantz, Steven PY - 2009/Aug/31/ UR - http://arxiv.org/abs/0908.4437 ER -