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On the differential properties of continuous functions

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Abstract

We introduce and investigate some new differential properties of continuous functions by means of the geometrical properties of their derivatives.

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References

  1. A. M. Bruckner,Differentiation of Real Functions, CRM Monograph Ser., Vol. 5, Amer. Math. Soc., Providence (1978).

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  2. C. Neugebauer, “A theorem on derivatives,”Acta Sci. Math. (Szeged), 23, 79–81 (1962).

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  3. S. Sacks, “On the functions of Bezicovitch in the space of continuous functions,Fund. Math.,19, 211–219 (1932).

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  4. T. Zamfirescu, “Most monotone functions are singular,”Amer. Math. Mon.,88, 47–49 (1981).

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Authors
  1. F. M. Diab
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Additional information

Cairo University, Giza, Egypt. Published in Ukrainskii Matematicheskii Zhunal, Vol. 51, No. 8, pp. 1122–1125, August, 1999

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Diab, F.M. On the differential properties of continuous functions. Ukr Math J 51, 1266–1270 (1999). https://doi.org/10.1007/BF02592515

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  • DOI: https://doi.org/10.1007/BF02592515

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