The Denjoy-Young-Saks theorem describes, for an arbitrary real function, the possible combinations of values its four Dini derivatives can take at almost every point. Denjoy proved the result for continuous functions, Young extended it to measurable functions, and Saks extended it further to arbitrary functions; Saks and Bruckner have given historical accounts of the theorem. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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Source Denjoy-Young-Saks Theorem (Wikipedia)
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In mathematics, the Denjoy-Young-Saks theorem gives some possibilities for the Dini derivatives of a function that hold almost everywhere.
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