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On Dini derivatives and on a property of Denjoy. (English) Zbl 0226.26007

MSC:
26A24 Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems
26A21 Classification of real functions; Baire classification of sets and functions
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References:
[1] Clarkson, J. A.: A property of derivatives. Bull. Amer. Math. Soc.53, 124-125 (1947). · Zbl 0032.27102
[2] Denjoy, A.: Sur une propriété des fonctions dérivées. Enseignement Math.18, 320-328 (1916). · JFM 46.0381.05
[3] Gál, I. S.: On the fundamental theorems of the Calculus. Trans. Amer. Math. Soc.86, 309-320 (1957). · Zbl 0079.28003
[4] Hsiang, F. C.: On differentiable functions. Bull. Amer. Math. Soc.66, 382-383 (1960). · Zbl 0094.26101
[5] Lahiri, B. K.: A note on derivatives. Bull. Amer. Math. Soc.50, 68-70 (1958). · Zbl 0135.26003
[6] Marcus, S.: On a theorem of Denjoy and on approximate derivative. Mh. Math.66, 435-440 (1962). · Zbl 0111.05804
[7] Marous, S.: On a paper by B. K. Lahiri. Bull. Cal. Math. Soc.55, 127bis 129 (1963).
[8] Mukhopadhyay, S. N.: On Schwarz differentiability IV. Acta Math. Acad. Sci. Hung.17, 129-136 (1966). · Zbl 0143.07402
[9] Neugebauer, C. J.: Darboux functions of Baire class one and derivatives. Proc. Amer. Math. Soc.13, 838-843 (1962). · Zbl 0112.04002
[10] Saks, S.: Theory of the Integral. Warszawa-Lwów-New York 1937, p. 204.
[11] Zahorski, Z.: Sur la première dérivée. Trans. Amer. Math. Soc.69, 1-54 (1950). · Zbl 0038.20602
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