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Modificando adecuadamente el método de un trabajo olvidado [1], probamos que si una aplicación continua, de un subconjunto abierto no vacío U de un espacio vectorial topológico metrizable separable y de Baire E, en un espacio localmente convexo, es direccionalmente diferenciable por la derecha en U según un subconjunto comagro de E, entonces, es genéricamente Gâteaux diferenciable en U. Nuestro resultado implica que cualquier espacio vectorial topológico, metrizable, separable y de Baire, es débilmente...

A remark on local fractional calculus and ordinary derivatives

Ricardo Almeida, Małgorzata Guzowska, Tatiana Odzijewicz (2016)

Open Mathematics

In this short note we present a new general definition of local fractional derivative, that depends on an unknown kernel. For some appropriate choices of the kernel we obtain some known cases. We establish a relation between this new concept and ordinary differentiation. Using such formula, most of the fundamental properties of the fractional derivative can be derived directly.

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A generalization of the Lagrange mean value theorem to the case of vector-valued mappings.

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A remark on local fractional calculus and ordinary derivatives

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A supplement to the paper "Differentiable roads for real functions" by J. G. Ceder

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An approximate analog of a theorem of Khintchine

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An asymptotic form of Cauchy's functional equation.

An asymptotic form of Cauchy's functional equation. (Short Communication).

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