A note on partial derivatives of convex functions
A note on separate continuity and connectivity properties
Separately continuous functions are shown to have certain properties related to connectedness.
A note on separation of sets by approximately continuous functions
A note on symmetrically continuous functions
A note on the difference property.
A note on the GP-integral
A note on unimodal mappings with infinitely many attractors
A numerical solution using an adaptively preconditioned Lanczos method for a class of linear systems related with the fractional Poisson equation.
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 Perron-type integral of order for Riesz spaces
A Poster about the Old History of Fractional Calculus
MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22The fractional calculus (FC) is an area of intensive research and development. In a previous paper and poster we tried to exhibit its recent state, surveying the period of 1966-2010. The poster accompanying the present note illustrates the major contributions during the period 1695-1970, the "old history" of FC.
A Poster about the Recent History of Fractional Calculus
MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22In the last decades fractional calculus became an area of intense re-search and development. The accompanying poster illustrates the major contributions during the period 1966-2010.
A Precise Vitali Theorem for Lebesgue Measure.
A Probalistic Interpretation of Complete Monotonicity.
A procedure for generating infinite series identities.
A proof of an Aljančić hypothesis on -regularly varying sequences.
A Proof of the Hardy-Littlewood Theorem on Fractional Integration and a Generalization
À propos d'un lemme de Tadeusz Ważewski
A PU-integral on an abstract metric space
In this paper, we define a -integral, i.e. an integral defined by means of partitions of unity, on a suitable compact metric measure space, whose measure is compatible with its topology in the sense that every open set is -measurable. We prove that the -integral is equivalent to -integral. Moreover, we give an example of a noneuclidean compact metric space such that the above results are true.
A -linear automorphism of the reals with non-measurable graph
This note contains a proof of the existence of a one-to-one function of onto itself with the following properties: is a rational-linear automorphism of , and the graph of is a non-measurable subset of the plane.