On points of differentiation according to Fréchet
1 Department of Mathematical Analysis, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
2 Chernivtsi National University named after Yuriy Fedkovych, Chernivtsi, 58002, Ukraine
Keywords:
points of differentiation
Abstract
For any countable subset E of real normed space X we construct a continuous function f:X→R such that the set of all points of differentiability by Frechet concides with X\E.
References
Bruckner A., Differentiation of Real Functions. – Amer. Math. Soc., Providens, Rhode Island. USA. – 196 p.
Bruckner A. and Leonard I.,Derivatives.–Amer. Math. Monthly. – 1966. – 73, Part II . – P. 24-56.
Robert Deville, Gilles Godefroy, Vaclav Zizler, Smoothness and Renormings in Banach Spaces. – Besancon and Bordeaux, Paris and Columbia, Edmonton. – Sammer 1992.
Cite
- ACS Style
- Maslyuchenko, V.K.; Tomashchuk, N.І. On points of differentiation according to Fréchet. Bukovinian Mathematical Journal. 2018, 5
- AMA Style
- Maslyuchenko VK, Tomashchuk NІ. On points of differentiation according to Fréchet. Bukovinian Mathematical Journal. 2018; 5(3-4).
- Chicago/Turabian Style
- Volodymyr Kyrylovych Maslyuchenko, Nikifor І. Tomashchuk. 2018. "On points of differentiation according to Fréchet". Bukovinian Mathematical Journal. 5 no. 3-4.
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