. "369;380" . . . . "We prove that the 1-dimensional Hausdorff measure restricted to the graph of a function f is locally monotone near the origin provided f''>>0 on some neighbourhood of zero."@en . "Local monotonicity of measures supported by graphs of convex functions" . "P(GA201/03/0931), Z(MSM 113200007)" . "1"^^ . "\u010Cern\u00FD, Robert" . . "Local monotonicity of measures supported by graphs of convex functions"@en . . . "Publicacions Matematiques" . . "Local monotonicity of measures supported by graphs of convex functions" . "RIV/00216208:11320/04:00002566!RIV/2005/GA0/113205/N" . "Lok\u00E1ln\u00ED monotonie m\u011Br nesen\u00FDch grafy konvexn\u00EDch funkc\u00ED"@cs . . "Local;monotonicity;measures;supported;graphs;convex;functions"@en . . . "Local monotonicity of measures supported by graphs of convex functions"@en . . . . "[6A8F4981DD38]" . . "Dokazujeme, \u017Ee 1-dimenzion\u00E1ln\u00ED Hausdorffova m\u00EDra nesen\u00E1 grafem funkce f je lokaln\u011B monotonn\u00ED na okol\u00ED po\u010D\u00E1tku za p\u0159edpokladu, \u017Ee f''>>0 na okol\u00ED nuly."@cs . "RIV/00216208:11320/04:00002566" . . . "571695" . "48" . "Lok\u00E1ln\u00ED monotonie m\u011Br nesen\u00FDch grafy konvexn\u00EDch funkc\u00ED"@cs . "0214-1493" . . . "12"^^ . "2004" . "1"^^ . "We prove that the 1-dimensional Hausdorff measure restricted to the graph of a function f is locally monotone near the origin provided f''>>0 on some neighbourhood of zero." . . . "ES - \u0160pan\u011Blsk\u00E9 kr\u00E1lovstv\u00ED" . "11320" .