Revistas académicas de la Universidad Católica del Norte
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Strong Riesz summability of Fourier series
No full textThe notion of strong summability was introduced by Fekete (Math. És Termesz Ertesitö, 34 (1916), 759-786). Dealing with Nörlund summability of Fourier series Mittal (J. Math. Anal. Appl. 314 (2006), 75-84) has established a result on strong summability. We have established a new result on sufficient condition for strong Riesz summability of Fourier series
On the Mazur-Ulam theorem on Fréchet algebras
No full textThe Mazur-Ulam Theorem on Frechet Algebras is proved
Hermite-Hadamard type fractional integral inequalities for products of two MT(r;g,m,φ)-preinvex functions
No full textA new class of MT(r;g,m,φ)-preinvex functions is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving products of two MT(r;g,m,φ)-preinvex functions are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for products of two MT(r;g,m,φ)-preinvex functions via Riemann-Liouville fractional integrals are established. These general inequalities give us some new estimates for the left-hand side of Gauss-Jacobi type quadrature formula and Hermite-Hadamard type fractional integral inequalities. At the end, some conclusions and future research are given
On additive maps of MA-semirings with involution
No full textWe extend the concept of *-derivations of rings to a certain class of semirings called MA-semirings and establish some results on commutativity forced by the *-derivations satisfying different criteria. We specially focus on the results on certain conditions under which additive mappings become Jordan *-derivations
On reformulated Narumi-Katayama index
No full textA graph is a mathematical model form by set of dots for vertices some of which are connected by lines named as edges. A topological index is a numeric value obtained from a graph mathematically which characterize its topology. The reformulated Narumi-Katayama index of a graph G is defined as the product of edge degrees of all the vertices of G which is introduced in 1984, to used the carbon skeleton of a saturated hydrocarbons. The degree of an edge is given by the sum of degrees of the end vertices of the edge minus 2. In this paper, we compute the reformulated Narumi-Katayama index for different graph operations
The nonsplit domination in subdivision graphs
No full textA dominating set D of a graph G = (V, E) is a nonsplit dominating set if the induced subgraph 〈V − D〉 is connected. The nonsplit domination number γns(G) of G is the minimum cardinality of a nonsplit dominating set. An edge e = uv of a graph G is said to be subdivided if e is replaced by the edges uw and vw for some vertex w not in V (G). The graph obtained from G by subdividing each edge of G exactly once is called the subdivision graph of G and is denoted by S(G). In this paper, we study the nonsplit domination number of subdivision graph. We determine exact values of the nonsplit domination number of subdivision graph for some standard graphs. We also obtain bounds and relationship with other graph theoretic parameters for the γ ns(S(G))
diophantine problem for addition and divisibility for subrings of rational functions over finite fields
No full textIt is shown that the positive existential theory of the structure ℱS = (S−1F[t];=,F, 0, 1,+, |, f ↦ tf), where f ↦ tf is the multiplication by t map, S is non-empty a finite set of irreducible polynomials, and F is a finite field of odd characteristic, is undecidable.It is shown that the positive existential theory of the structure ?S = (S?1F[t];=,F, 0, 1,+, |, f ? tf), where f ? tf is the multiplication by t map, S is non-empty a finite set of irreducible polynomials, and F is a finite field of odd characteristic, is undecidable
Total graph of a commutative semiring with respect to singular ideal
No full textLet S be a commutative semiring with unity. The singular ideal Z(S) of S is defined as Z(S) = {s ∈ S | sK = 0 for some essential ideal K of S}. In this paper, we introduce the notion of total graph of a commutative semiring with respect to the singular ideal. We define this graph as the undirected graph T(Γ(S)) with all elements of S as vertices and any two distinct vertices x and y are adjacent if and only if x + y ∈ Z(S). We discuss various characteristics of this total graph and also characterize some important properties of certain induced subgraphs of this total graph
Bipolar quadripartitioned single valued neutrosophic sets
No full textThe notion of simple bipolar quadripartition is presented valuable neutrosophic set. Some basic set theoretic terminologies, operations and properties of bipolar quadripartitioned single valued neutrosophic set are given here. Also different types of distances, similarity measures and entropy measure are discussed. Finally a decision making problem using the similarity measure technique of bipolar quadripartitioned single valued neutrosophic sets has been solved
General solution and hyperstability results for a cubic radical functional equation related to quadratic mapping
No full textThe aim of this paper is to introduce and solve the following radical cubic functional equation
Also, we investigate some stability results for the considered equation in Banach spaces