Print Edition: ISSN 1584 - 2851
Online Edition: ISSN 1843 - 4401

Carpathian J. Math. is a category A journal in the CNCSIS classification

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Contents (PDF)
Vol. 20 (2004), No. 1,
A survey on the approximation properties of Schurer-Stancu operators
Author: Dan Bărbosu
Abstract: The paper is a survey of some results obtained by the author in the last two years, concerning approximation properties of Schurer-Stancu operators.
No. of downloads: 658 Full access PDF |
Obituary: Gheorghe Micula (1943-2003)
Author: Nicolae Pop / Andrei Vernescu
No. of downloads: Full access PDF |
The connection between the implicit function theorem and the existence theorem for differential equations
Author: Iulian Coroian
Abstract: The paper presents a variant of implicit function theorem, as a corollary of existence theorem for solutions of a first order system of partial differential equations. This results is then extend to the case of implicit function theorem for functions of several independent variables.
No. of downloads: 424 Full access PDF | DVI | PS |
A property of the convolution of two $\phi$-convex functions
Author: Gabriela Cristescu
Abstract: The convolution of two $\varphi $-convex functions is estimated by means of an inequality of Hadamard type. The sharpness of this inequality is discussed. As consequence, few inequalities for the convolution of two classically convex functions are obtained, providing us with a possibility of comparing the convolution product of two functions with their ordinary product, in the case of a class of convex functions.
No. of downloads: 417 Full access PDF |
Advanced Object Database Design Techniques
Author: Adrian Sergiu Darabant / Alina Câmpan
Abstract: Class fragmentation is an important task in the design of Distributed Object Oriented Databases (DOOD). However, fragmentation in DOOD is still at its beginnings and mostly adapted from the relational approaches. In this paper we propose an alternative approach for horizontal fragmentation of DOOD. Our method uses two different AI clustering techniques for partitioning class instances into fragments: the agglomerative hierarchical method and the k-means centroid based method. Class objects are modelled in a vector space; similarity be- tween objects is computed using different measures. Finally, we provide quality and performance evaluations using a partition evaluator function .
No. of downloads: 248 Full access PDF | DVI | PS |
The orthogonality principle and conditional densities
Author: Cristina Ioana Fătu
No. of downloads: 246 Full access PDF |
A New Approach of Genetic Chromodynamics
Author: Anca Gog / Dan Dumitrescu
Abstract: Genetic Algorithms are general purpose optimization/search techniques relying on a biological metaphor. They usually detect a unique optimum, but many real world prob- lems need multiple optima. Genetic Chromodynamics is a strategy for preventing premature convergence and detecting multiple optimal solutions. A new technique of applying genetic operators is proposed. The Parallel Mutation Based Genetic Chromodynamics (PMGC) improves the local search from the standard approach and combines it with the global search, by using an appropriate mutation strategy.
No. of downloads: 235 Full access PDF |
Another General Fixed Point Principles
Author: Andrei Horvat-Marc / Mădălina Berinde
Abstract: In the terms of fixed point structures two general fixed point principle was given by I. A. Rus ([3], [4]). In this paper we establish another fixed point principles in terms of fixed point structures.
No. of downloads: 267 Full access PDF |
On an information divergence measure and information inequalities
Author: Pranesh Kumar / Laura Hunter
Abstract: Information divergence measures are often useful for comparing two probability distributions. An information divergence measure is suggested. This measure is symmetric in respect of the probability distributions and belongs to the well known class of Csisz´ar’s f-divergences. Its properties are studied and bounds in terms of often used information divergences are obtained. A numerical illustration based on symmetric and asymmetric probability distributions compares some of these divergence measures.
No. of downloads: 268 Full access PDF |
Numerical experiment with the embedded Runge-Kuta formulae of the 6th order to the 5th order
Author: Marcela Lascsakova / Vladimir Penjak
No. of downloads: 231 Full access PDF |
Very well-covered graphs with log-concave independence polynomials
Author: Vadim E. Levit / Eugen Mândrescu
No. of downloads: 256 Full access PDF |
Reliability of a system with renewable components and fast repair
Author: Bogdan Munteanu
Abstract: We present several results concerning on the ergodicity property of the birth and death processes with application in reliability theory, in other words we investigate the convergence in distribution of lifetime and repair time to a standard exponential random variable.
No. of downloads: 234 Full access PDF |
On some relations on n-monoids
Author: Maria Sânziana Pop / Adina Pop
Abstract: In this paper we introduce the notion of n-monoid, n > 2, and we generalize for n-monoids two relations defined by F. Wehrung on the binary case. These relations can be interpreted as a ”distance” between a n-monoid and the set of n-groups.
No. of downloads: 255 Full access PDF |
A quadratic programming method for saddle point formulations in contact problems with friction
Author: Nicolae Pop / Ioana Zelina
Abstract: The paper is concerned with the numerical solution of the quasi-variational in- equality modelling a contact problem with Coulomb friction. After discretization of the problem by mixed finite elements and with Lagrangian formulation of the problem by choosing appropri- ate multipliers, the duality approach is improved by splitting the normal and tangential stresses. The novelty of our approach in the present paper consists in the splitting of the normal stress and tangential stress, which leads to a better convergence of the solution, due to a better conditioned stiffness matrix. This better conditioned matrix is based on the fact that these blocks diagonal matrices obtained, contain coefficients of the same size order. For the saddle point formulation of the problem, using static condensation, we obtain a quadratic programming problem. We use Gauss-Seidel iterations to approximate the solution of this problem.
No. of downloads: 217 Full access PDF |
About the first order modulus of smoothness
Author: Ovidiu T. Pop
No. of downloads: 254 Full access PDF |
Efficient algorithms for the Generalized Minimum Spanning Tree Problem
Author: Petrică Claudiu Pop / Ioana Zelina / Corina Pop Sitar
Abstract: We consider a generalization of the classical minimum spanning tree problem called the generalized minimum spanning tree problem and denoted by GMST problem. It is known that the GMST problem belongs to the hard core of NP-hard problems. The aim of this paper is to present an exact exponential time algorithm for the GMST problem as well three efficient algorithms, two of them based on Prim’s and Kruskal’s algorithms for the minimum spanning tree problem and one based on the local global approach. These three algorithms are implemented and computational results are reported for many instances of the problem.
No. of downloads: 243 Full access PDF |
Order relation on the solutions sets of Z-conditional Cauchy equations on groups
Author: Vasile Pop
No. of downloads: 218 Full access PDF |
Fixed points, upper and lower fixed points: abstract Gronwall lemmas
Author: Ioan A. Rus
Abstract: The aim of this paper is to study four basic problems of operatorial inequalities.
No. of downloads: 239 Full access PDF |
Properties of the real $\varphi$-convex functions
Author: Codruța Stoica
Abstract: We intend to study the relationship between various properties of a function ', such as monotony, continuity, differentiability, and the properties implied to the '-convex functions, in the sense considered by Youness.
No. of downloads: 158 Full access PDF |
Cubature formulas of high degree of exactness
Author: Ioana Tașcu
Abstract: In this paper we use the multivariate interpolation for construction of cubature formulas of high degree of exactness, when the domain of interpolation is a rectangle. These formulas are of Gauss-Christoffel-Stancu type. The coordinates of the Gaussian nodes are determined by using the roots of the orthogonal polynomials of Christoffel-Szego.
No. of downloads: 201 Full access PDF |

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