Revistas académicas de la Universidad Católica del Norte
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New inequalities for strongly exponentially generalized functions with applications
No full textThe aim of this paper is to introduce a new class of functions called strongly exponentially generalized .Some new integral inequalities of trapezium-type for strongly exponentially generalized functions with modulus via Riemann-Liouville fractional integral are established. Also, some new estimates with respect to trapezium-type integral inequalities for strongly exponentially generalized functions with modulus via general fractional integrals are obtained. We show that the strongly exponentially generalized functions with modulus includes several other classes of functions. At the end, some new error estimates for trapezoidal quadrature formula are provided as well. This results may stimulate further research in different areas of pure and applied sciences
On the mixed multifractal formalism for vector-valued measures
No full textThe multifractal formalism for vector-valued measures holds when-ever the existence of corresponding Gibbs-like measures, supported on the singularities sets holds. We tried through this article to improve a result developed by Menceur et al. in [29] and to suggest a new sufficient condition for a valid mixed multifractal formalism for vector-valued measures. We describe a necessary condition of validity for the formalism which is very close to the sufficient one
Energy and basic reproduction number of n-corona graphs prior to order 1
No full textThis paper advances the corona product to n times corona in the aspect of increasing and decreasing product of graphs and calibrates its energy and basic reproduction number. The proposed model emanates as a graph with successive generations of complexity, whose structure is constructed as a matrix based on its adjacency. The energy is measured from the sum of the absolute values of the eigen values of the adjacency matrix of graph G and the largest eigen value is known to be R0. The energy upper bound for increasing and decreasingn-corona product with order 1 of complete graphs are attained
(∆mv ,f)-lacunary statistical convergence of order α
No full textIn this paper, we define the space Sαθ (∆mv, f) of all (∆mv, f)-lacunary statistical convergent sequences of order α with the help of unbounded modulus function f, lacunary sequence (θ), generalized difference operator ∆ mv and real number α ∈ (0, 1]. We also introduce the space ωαθ (∆mv, f) of all strong (∆mv, f)-lacunary summable sequences of order α. Properties related to these spaces are studied. Inclusion relations between spaces Sαθ (∆mv, f) and ωα θ (∆mv, f) are established under certain conditions
Orbit equivalence of linear systems on manifolds and semigroup actions on homogeneous spaces
No full textIn this paper we introduce the notion of orbit equivalence for semi-group actions and the concept of generalized linear control system onsmooth manifold. The main goal is to prove that, under certain condi-tions, the semigroup system of a generalized linear control system on asmooth manifold is orbit equivalent to the semigroup system of a linearcontrol system on a homogeneous space
Some open questions in quiver gauge theory
No full textQuivers, gauge theories and singular geometries are of great interest in both mathematics and physics. In this note, we collect a few open questions which have arisen in various recent works at the intersection between gauge theories, representation theory, and algebraic geometry. The questions originate from the study of supersymmetric gauge theories in different dimensions with different supersymmetries. Although these constitute merely the tip of a vast iceberg, we hope this guide can give a hint of possible directions in future research. 
On multi-symmetric functions and transportation polytopes
No full textWe present a study of the transportation polytopes appearing in the product rule of elementary multi-symmetric functions introduced by F. Vaccarino
An existence result for a strongly nonlinear parabolic equations with variable nonlinearity
No full textWe prove the existence of a solution for the strongly nonlinear parabolic initial boundary value problem associated to the equation
ut − div a(x, t, ∇u) + g(x, t, u, ∇u) = f,
where the vector field a(x, t, ξ) exhibits non-standard growth conditions
Total neighborhood prime labeling of some trees
No full textLet G be a graph with p vertices and q edges. A total neighborhood prime labeling of G is a labeling in which the vertices and edges are assigned labels from 1 to p + q such that the gcd of labeling in the neighborhood of each non degree 1 vertex is equal to 1 and the gcd of labeling in the edges of each non degree 1 vertex is equal to 1. A graph that admits a total neighborhood prime labeling is called a total neighborhood prime graph. In this paper, we examine total neighborhood prime labeling of trees such as (n, k, m) double star trees, spiders, caterpillars and firecrackers
Fuzzification of strongly and locally strongly compact spaces
No full textIn this paper, some characterizations of fuzzifying strong compact- ness are given, including characterizations in terms of nets and pre- subbases. Several characterizations of locally strong compactness in the framework of fuzzifying topology are introduced and the mapping theorems are obtained