
arXiv: 1107.3264
We present a new proof of generalized Flett's mean value theorem due to Pawlikowska (from 1999) using only the original Flett's mean value theorem. Also, a Trahan-type condition is established in general case.
Mathematics - Classical Analysis and ODEs, QA1-939, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems, Flett's mean value theorem, Trahan-type condition, Mathematics, 26A24
Mathematics - Classical Analysis and ODEs, QA1-939, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems, Flett's mean value theorem, Trahan-type condition, Mathematics, 26A24
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