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A characterization of monomial functions.
A condition of Busemann-Feller type for the derivation of integrals of functions in the class Φ (L).
A derivative to match the v-integral.
A direct approach to one variable noncommutative calculus
A functioanl identity characterizing polynomials.
A general integral [Book]
A general result on the equivalence between derivation of integrals and weak inequalities for the Hardy-Littlewood maximal operator
A generalization of the Lagrange mean value theorem to the case of vector-valued mappings.
A mean value inequality for positive integral transformations with application to a maximal theorem
A one-sided version of Alexiewicz-Orlicz's differentiability theorem.
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
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.
A simultaneous solution to two problems of derivatives.
A supplement to the paper "Differentiable roads for real functions" by J. G. Ceder
A typical property of the symmetric differential quotient
About some properties of intermediate point in certain mean-value formulas.
An approximate analog of a theorem of Khintchine
An approximative generalization of Zahorski's theorem on derivative
An asymptotic form of Cauchy's functional equation.
An asymptotic form of Cauchy's functional equation. (Short Communication).