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is a real valued function defined on an interval, then with the possible exception of a set of measure 0 on the interval, the Dini derivatives of
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221:, Lecture Notes in Mathematics, vol. 659, Berlin, New York:
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satisfy one of the following four conditions at each point:
264:, Monografie Matematyczne, vol. 7 (2nd ed.),
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16:Mathematical theorem about Dini derivatives
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27:gives some possibilities for the
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219:Differentiation of real functions
299:"On the Derivates of a Function"
297:Young, Grace Chisholm (1917),
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71:, Chapter IX, section 4) and
217:Bruckner, Andrew M. (1978),
272:: G.E. Stechert & Co.,
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43:) proved the theorem for
25:Denjoy–Young–Saks theorem
318:10.1112/plms/s2-15.1.360
31:of a function that hold
306:Proc. London Math. Soc.
98:has a finite derivative
261:Theory of the Integral
334:Theorems in analysis
57:measurable functions
45:continuous functions
231:10.1007/BFb0069821
240:978-3-540-08910-0
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33:almost everywhere
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256:Saks, Stanisław
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211:References
69:Saks (1937
79:Statement
328:Category
266:Warszawa
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206:= –∞.
186:= ∞,
170:= –∞.
160:= ∞,
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270:Lwów
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314:doi
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