TY - JOUR AU - Azagra Rueda, Daniel AU - Gómez Gil, Javier AU - Jaramillo Aguado, Jesús Ángel PY - 1997 DO - 10.1006/jmaa.1997.5552 SN - 0022-247X UR - https://hdl.handle.net/20.500.14352/57128 T2 - Journal of Mathematical Analysis and Applications AB - In this note we prove that if a differentiable function oscillates between y« and « on the boundary of the unit ball then there exists a point in the interior of the ball in which the differential of the function has norm equal or less than« . This... LA - eng M2 - 487 PB - Elsevier KW - Rolle’s theorem in infinite-dimensional Banach spaces KW - Approximate Rolle’s theorem KW - Continuous norm whose dual norm is locally uniformly rotund KW - C1 bump function TI - Rolle’s Theorem and Negligibility of Points in Infinite Dimensional Banach Spaces TY - journal article VL - 213 ER -