On differentiability of real functions
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In this paper a necessary and sufficient condition, in order that a (real-valued) function of a real variable,-defined on an interval (a, b)-, be differentiable almost everywhere in this interval, is given.
The peculiarity of the condition is that of involving only a subset Z of (a, b) dense on (a, b), but of measure 0.
KeywordsLebesgue Measure Relative Weight English Translation Real Function Algebraic Variation
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- Pettineo B.,Sulla derivabilità delle funzioni, Atti Acc. Naz. Lincei (Memorie), s. VIII, v. VII, f. 6 (1965).Google Scholar