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On differential properties of real functions

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Ukrainian Mathematical Journal Aims and scope

Abstract

We study the categorical analog of the Stepanov theorem and new criteria of asymptotic differentiability of real functions.

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References

  1. W. Stepanoff, “Sur les conditions de l'existence de la differentielle totale,”Mat. Sb.,32, 511–526 (1925).

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  3. Yu. Yu. Trokhimchuk, “On directional derivatives of functions of many variables,”Ukr. Mat. Zh.,17, No. 6, 67–79 (1965).

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  4. D. D. Ilmuradov, “Categorical theorem on the contingencies of hyperplanes in the Euclidean space,”Ukr. Mat. Zh.,5, No. 3, 378–383 (1993).

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  5. S. Saks,Theory of Integral [Russian translation], Inostr. Lit., Moscow (1949).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    D. D. Ilmuradov

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  1. D. D. Ilmuradov
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 7, pp. 842–848, July, 1994.

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Ilmuradov, D.D. On differential properties of real functions. Ukr Math J 46, 922–928 (1994). https://doi.org/10.1007/BF01056669

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  • DOI: https://doi.org/10.1007/BF01056669

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