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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 Perron-type integral of order $2$ for Riesz spaces

Antonio Boccuto (2001)

Mathematica Slovaca

A Poster about the Old History of Fractional Calculus

Tenreiro Machado, J., Kiryakova, Virginia, Mainardi, Francesco (2010)

Fractional Calculus and Applied Analysis

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

Machado, Tenreiro, Kiryakova, Virginia, Mainardi, Francesco (2010)

Fractional Calculus and Applied Analysis

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.

Leif Mejlbro, Flemming Topsoe (1977)

Mathematische Annalen

A Probalistic Interpretation of Complete Monotonicity.

Clark H. Kimberling (1974)

Aequationes mathematicae

A procedure for generating infinite series identities.

Ruffa, Anthony A. (2004)

International Journal of Mathematics and Mathematical Sciences

A proof of an Aljančić hypothesis on $𝒪$ -regularly varying sequences.

Đurčić, Dragan, Božin, Vladimir (1997)

Publications de l'Institut Mathématique. Nouvelle Série

A Proof of the Hardy-Littlewood Theorem on Fractional Integration and a Generalization

Miroslav Pavlović (1996)

Publications de l'Institut Mathématique

À propos d'un lemme de Tadeusz Ważewski

Tiberiu Popoviciu (1974)

Annales Polonici Mathematici

A PU-integral on an abstract metric space

Giuseppa Riccobono (1997)

Mathematica Bohemica

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 $μ$ is compatible with its topology in the sense that every open set is $μ$ -measurable. We prove that the -integral is equivalent to $μ$ -integral. Moreover, we give an example of a noneuclidean compact metric space such that the above results are true.

A $Q$ -linear automorphism of the reals with non-measurable graph

Stephen Scheinberg (2019)

Commentationes Mathematicae Universitatis Carolinae

This note contains a proof of the existence of a one-to-one function $Θ$ of $ℝ$ onto itself with the following properties: $Θ$ is a rational-linear automorphism of $ℝ$ , and the graph of $Θ$ is a non-measurable subset of the plane.

A Radon-Nikodym derivative for positive linear functionals

E. de Amo, M. Díaz Carrillo (2009)

Studia Mathematica

An exact Radon-Nikodym derivative is obtained for a pair (I,J) of positive linear functionals, with J absolutely continuous with respect to I, using a notion of exhaustion of I on elements of a function algebra lattice.

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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.