Revistas académicas de la Universidad Católica del Norte
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Some special Kleinian groups and their orbifolds
Let us consider an abstract group with the following presentationwhere ki, lj ? {2,..., ?}. We provide conditions in order to find a faithful, discrete and geometrically finite representation ? : G? PSL(2; C), that is, to represent G as a group of isometries of the hyperbolic three space H³
Six dimensional matrix summability of triple sequences
In this paper we introduced the RH-regularity condition of six dimensional matrix. Matrix summability is one of the important tool used to characterize sequence spaces. In 2004 Patterson presented such a characterization of bounded double sequence using four dimensional matrix. Our main aim is to extend Patterson result in triple sequence spaces using six dimensional matrix transformations
On fuzzy normed linear space valued statistically convergent sequences
In this article we define the notion of statistically convergent and statistically null sequences with the concept of fuzzy norm and discuss some of their properties such as completeness, monotone, solidness, symmetricity sequence algebra and convergence free
Corrigendum
Corrigendum to “An Extension of Sheffer Polynomials” [Proyecciones Journal of Mathematics, Vol. 30, No 2, pp. 265 − 275, 2011
On generalization of K-divergence, its order relation with J-divergence and related results
In this paper, we give an order relation between J-divergence and generalized K-divergence. By using this order relation we give generalizations of the results related to an order relation between J-divergence and K-divergence given by J. Burbea and C. R. Rao. Also we construct class of m-exponentially convexfunctions introducing by nonnegative difference of new order relation
Asymptotically Double Lacunary Statistically Equivalent Sequences of Interval Numbers
In this paper we have introduced the concept ofasymptotically double lacunary statistically equivalent of interval numbers and strong asymptotically double lacunary statistically equivalent ofinterval numbers. We have investigated the relations related to these spaces
Some geometric properties of lacunary Zweier Sequence Spaces of order a
In this paper we introduce a new sequence space using Zweier matrix operator and lacunary sequence of order a. Also we study some geometrical properties such as order continuous, the Fatou property and the Banach-Saks property of the new space
On the hyperstability of a quartic functional equation in Banach spaces
In this paper, we establish some hyperstability results of the following functional equationf (2x + y) + f (2x - y) = 4(f (x + y) + f (x - y)) + 24f (x) - 6f (y)in Banach spaces
Compactification l-adique de R
Résumé. Nous construisons un groupe topologique compact Rl, qui contient naturellement comme sous-groupes denses à la fois le groupe additif réel R et le groupe l-adique Ql pour un premier donné l, et nous en étudions quelques unes des propriétés. En appendice, nous montons que cela donne une description arithmétique du solénoïde l-adique Sl classiquement défini en termes de feuilletages.Abstract. For a given prime number l, we construct a compact topological group Rl which contains both the real additive group R and the l-adic one Ql as dense subgroups; thus we study some of its properties. This construction gives an arithmetic description of the so-called l-adic solenoid Slclassically defined in terms of foliations
Ordered L-fuzzy Gd-extremally disconnected spaces and tietze extension theorem
In this paper we introduce a new class of fuzzy topological spaces called ordered L-fuzzy Gd-extremally disconnected spaces. Besides giving several characterizations and some interesting properties of these spaces, we also establish Tietze extension theorem