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).
An elementary proof of the one-dimensional Rademacher theorem
An elementary short proof of the one-dimensional Rademacher theorem on differentiability of Lipschitz functions is given.