Revistas académicas de la Universidad Católica del Norte
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Applications of measure of noncompactness for the solvability of an infinite system of second order differential equations in some integrated sequence spaces
No full textThe aim of this paper is to study the infinite system of second order differential equations along with the given boundary conditions for its solvability in some integrated sequence spaces. The result is achieved with the analytical tool namely the measure of noncompactness along with the idea of Meir-Keeler condensing operator and provides the realization of the sufficient conditions for the existence results in these Banach Sequence spaces. We also illustrate the results with examples
Another example of the mutual singularity of multifractal measures
No full textWe propose an example for which the multifractal Hausdorff and packing measures are mutually singular
On I- statistically ϕ-convergence
No full textIn this paper we investigate the notion of I-statistical ϕ-convergence and introduce IS-ϕ limit points and IS-ϕ cluster points of real number sequence and also studied some of its basic properties
On degree of approximation of Fourier series of functions in Besov space using Nörlund mean
No full textIn the present article, we have established a result on degree of approximation of function in the Besov space by (N; rn)- mean of Trigonometric Fourier serie
Ostrowski and Simpson type inequalities for multiplicative integrals
No full textIn this paper, we firstly obtain two identities for multiplicative differentiable functions. Then by using these identities, we establish Ostrowski and Simpson type inequalities for multiplicative integrals. At the end we give detail applications of our main results
A note on convolution operators on Riesz Bounded variation spaces
No full textWe show some estimates and approximation results of operators of convolution type defined on Riesz Bounded variation spaces in Rn . We also state some embedding results that involve the collection of generalized absolutely continuous function
Square root stress-sum index for graphs
No full textThe stress of a vertex is a node centrality index, which has been introduced by Shimbel (1953). The stress of a vertex in a graph is the number of geodesics (shortest paths) passing through it. In this paper, we introduce a new topological index for graphs called square root stress sum index using stresses of vertices. Further, we establish some inequalities, prove some results and compute stress-sum index for some standard graphs
Vertex cover and Edge vertex domination in trees
No full textLet G = (V,E) be a simple graph. An edge e ∈ E(G) edge-vertex dominates a vertex v ∈ V (G) if e is incident with v or e is incident with a vertex adjacent to v. A subset D ⊆ E(G) is an edge-vertex dominating set of a graph G if every vertex of G is edge-vertex dominated by an edge of D. A vertex cover of G is a set C ⊆ V such that for each edge uv ∈ E at least one of u and v is in C. We characterize trees with edge-vertex domination number equals vertex covering number
Weakly convex hypersurfaces of pseudo-Euclidean spaces satisfying the condition LkHk+1 = λHk+1
No full textIn this paper, we try to give a classification of spacelike hypersurfaces of the Lorentz-Minkowski space-time E1n+1, whose mean curvature vector field of order (k+ 1) is an eigenvector of the kth linearized operator Lk, for a non-negative integer k less than n. The operator Lk is defined as the linear part of the first variation of the (k + 1)th mean curvature of a hypersurface arising from its normal variations. We show that any spacelike hypersurface of E1n+1 satisfying the condition LkHk+1 = λHk+1 (where 0 ≤ k ≤ n − 1) belongs to the class of Lk-biharmonic, Lk-1-type or Lk-null-2-type hypersurface. Furthermore, we study the above condition on a well-known family of spacelike hypersurfaces of Lorentz-Minkowski spaces, named the weakly convex hypersurfaces (i.e. on which all of principle curvatures are nonnegative). We prove that, on any weakly convex spacelike hypersurface satisfying the above condition for an integer k (where, 0 ≤ r ≤ n−1), the (k + 1)th mean curvature will be constant. As an interesting result, any weakly convex spacelike hypersurfaces, having assumed to be Lk-biharmonic, has to be k-maximal.
Separation axioms of αm-contra-open maps and b-ω-open sets in generalized topological spaces
No full textIn this paper, we introduce Tαm-Super-Spaces, αm-contra-closed maps, αm-contra-open maps, αm-contra-continuous maps, αm-contrairresolute maps, b-ω-open sets and Continuity via b-ω-open sets and studied some of their propertie