Revistas académicas de la Universidad Católica del Norte
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Inequalities of Hermite-Hadamard Type for h-Convex Functions on Linear Spaces
No full textSome inequalities of Hermite-Hadamard type for h-convex functions defined on convex subsets in real or complex linear spaces are given. Applications for norm inequalities are provided as well
Ramanujan’s fifth order and tenth order mock theta functions - a generalization
No full textA generalization of Ramanujan’s fifth order and tenth order mock theta functions is given. It is shown that these belong to the family of Fq-functions. Using the properties of Fq-functions, relationship is given between these generalized fifth order mock theta functions of the first group with the generalized functions of the second group. The same is done for the generalized functions of the tenth order. q-Integral representation and multibasic expansions are also given
Functional equations of Cauchy’s and d’Alembert’s Type on Compact Groups
No full textUsing the non-abelian Fourier transform, we find the central continuous solutions of the functional equation where G is an arbitrary compact group, and σ is a continuous automorphism of G, such that σn = I. We express the solutions in terms of the unitary (group) characters of G
Square Sum Labeling of Class of Planar Graphs
No full textA (p, q) graph G is said to be square sum, if there exists a bijection f : V(G) → {0,1, 2,...,p — 1} such that the induced function f * : E(G)→ N defined by f * (uv) = (f (u))2 + (f (v))2, ∀ uv ∈ E(G) is injective. In this paper we proved that the planar graphs Plm,n,TBL(n,α,k,β) and higher order level joined planar grid admits square sum labeling. Also the square sum properties of several classes of graphs with many odd cycles are studied
Orlicz-Lorentz Spaces and their Composition Operators
No full textIn a self-contained presentation, we discuss the Orlicz-Lorentz space. Also the boundedness of composition operators on Orlicz-Lorentz spaces are characterized in this paper
On generalised semi-automorphic inverse property loops
No full textIn this paper, we studied the semi-automorphic inverse property (SAIP) loops. Identities characterising the innner mappings of a generalised SAIP was establised, it was shown that a generalised SAIP loop i.e. \alpha-semi-automorphic loops concided with RIP and ARIF loops in the generalised context. A link between the commutant and and Moufang element of the \alpha-semi-automorphic inverse property was establised. Finally, commutant of generalised SAIP loop was found to be a subloop
The Banach-Steinhaus Theorem in Abstract Duality Pairs
No full textLet E, F be sets and G a Hausdorff, abelian topological group with b : E X F→ G; we refer to E, F, G as an abstract duality pair with respect to G or an abstract triple and denote this by (E,F : G). Let (Ei,Fi : G) be abstract triples for i = 1, 2. Let Fi be a family of subsets of Fi and let τFi(Ei) = τi be the topology on Ei of uniform convergence on the members of Fi. Let J be a family of mappings from Ei to E2. We consider conditions which guarantee that J is τ1-τ2 equicontinuous. We then apply the results to obtain versions of the Banach-Steinhaus Theorem for both abstract triples and for linear operators between locally convex spaces
