Convexity in real analysis Export

@article{citeulike:5695589, abstract = {We treat the classical notion of convexity in the context of hard real analysis. Definitions of the concept are given in terms of defining functions and quadratic forms, and characterizations are provided of different concrete notions of convexity. This analytic notion of convexity is related to more classical geometric ideas. Applications are given both to analysis and geometry.}, 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 = {convex, real}, month = {Aug}, posted-at = {2009-09-01 08:02:22}, 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 real analysis. Definitions of the concept are given in terms of defining functions and quadratic forms, and characterizations are provided of different concrete notions of convexity. This analytic notion of convexity is related to more classical geometric ideas. Applications are given both to analysis and geometry. TI - Convexity in real analysis KW - convex KW - real AU - Krantz, Steven PY - 2009/Aug/31/ UR - http://arxiv.org/abs/0908.4437 ER -