On the trapezoid quadrature formula and applications
On the triangle inequality in quasi-Banach spaces.
On the Uniform Convergence of Sequences of Open First Baire Class Functions.
On the uniform limit of quasi-continuous functions.
Estudiamos cuando el límite uniforme de una red de funciones cuasi-continuas con valores en un espacio localmente convexo X es también una función cuasi-continua, resaltando que esta propiedad depende del menor cardinal de un sistema fundamental de entornos de O en X, y estableciendo condiciones necesarias y suficientes. El principal resultado de este trabajo es el Teorema 15, en el que los resultados de [7] y [10] son mejorados, en relación al Teorema de L. Schwartz.
On the uniqueness result for the Dirichlet problem and invexity.
On the utility of the Telyakovskiĭ's class .
On the Various Bisection Methods Derived from Vincent’s Theorem
In 2000 A. Alesina and M. Galuzzi presented Vincent’s theorem “from a modern point of view” along with two new bisection methods derived from it, B and C. Their profound understanding of Vincent’s theorem is responsible for simplicity — the characteristic property of these two methods. In this paper we compare the performance of these two new bisection methods — i.e. the time they take, as well as the number of intervals they examine in order to isolate the real roots of polynomials — against that...
On the Volterra integral equation and the Henstock-Kurzweil integral.
On the Ward Theorem for -adic-path bases associated with a bounded sequence
In this paper we prove that each differentiation basis associated with a -adic path system defined by a bounded sequence satisfies the Ward Theorem.
On the weighted Ostrowski inequality.
On the zeros of the polynomials of Legendre
On the -finiteness of a variational measure
The -finiteness of a variational measure, generated by a real valued function, is proved whenever it is -finite on all Borel sets that are negligible with respect to a -finite variational measure generated by a continuous function.
On the -primitive
On theorems of Pu & Pu and Grande
Given a finite family of cliquish functions, , we can find a Lebesgue function such that is Darboux and quasi-continuous for every . This theorem is a generalization both of the theorem by H. W. Pu H. H. Pu and of the theorem by Z. Grande.
On three inequalities similar to Hardy-Hilbert's integral inequality.
On tolerance analysis
On topological properties of the spaces of Darboux Baire 1 functions and bounded derivatives
We investigate the topological structure of the space 𝓓ℬ₁ of bounded Darboux Baire 1 functions on [0,1] with the metric of uniform convergence and with the p*-topology. We also investigate some properties of the set Δ of bounded derivatives.
On topological sequence entropy and chaotic maps on inverse limit spaces.
On totalization of the Kurzweil-Henstock integral in the multidimensional space
In this paper a full totalization is presented of the Kurzweil-Henstock integral in the multidimensional space. A residual function of the total Kurzweil-Henstock primitive is defined.
On translation invariant families of sets