Vol. 9 No. 1 (2017)
Published:
2017-06-09
Articles
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Articles
The growing ratios of hyperbolic regular mosaics with bounded cells
AbstractIn 3- and 4-dimensional hyperbolic spaces there are four, respectively five, regular mosaics with bounded cells. A belt can be created around an arbitrary base vertex of a mosaic. The construction can be iterated and a growing ratio can be determined by using the number of the cells of the considered belts. In this article we determine these growing ratios for each mosaic in a generalized way.
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Articles
Completely generalized right primary rings and their extensions
AbstractA ring $R$ is said to be a completely generalized right primary ring ($c.g.r.p$ ring) if $a, b \in R$ with $ab = 0$ implies that $a = 0$ or $b$ is nilpotent. Let now $R$ be a ring and $\sigma$ an automorphism of $R$. In this paper we extend the property of a completely generalized right primary ring ($c.g.r.p$ ring) to the skew polynomial ring $R[x;\sigma]$.
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Articles
Uniqueness theorem for sequences of piecewise polynomial functions
AbstractIn the paper sequences of piecewise polynomial functions are considered, where each of the function is the projection of subsequent ones. A reconstruction theorem is proved for such sequences converging in measure from its limit if the majorant of the sequence satisfies some condition..
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Articles
Tauberian Theorems by Weighted Summability Method
AbstractIn this paper, we will show a new Tauberian theorems defined by weighted Nörlund-Cesáro summability method.
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Articles
Characterization of the Unit Tangent Sphere Bundle with $ g $-Natural Metric and Almost Contact B-metric Structure
AbstractWe consider unit tangent sphere bundle of a Riemannian manifold $ (M,g) $ as a $ (2n+1) $-dimensional manifold and we equip it with pseudo-Riemannian $ g $-natural almost contact B-metric structure. Then, by computing coefficients of the structure tensor $ F$, we completely characterize the unit tangent sphere bundle equipped to this structure, with respect to the relevant classification of almost contact B-metric structures, and determine a class such that the unit tangent sphere bundle with mentioned structure belongs to it. Also, we find some curvature conditions such that the mentioned structure satisfies each of eleven basic classes.
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