Asymptotic expressions for the remainder term in the quadrature formula of Gauss-Jacobi type
Author: Ana Maria Acu / Daniel Florin Sofonea
Abstract: In this paper we have considered error analysis for a quadrature
formula which is obtained by integration of linear positive
operator. The asymptotic expressions for remainder term of
Gauss-Jacobi type quadrature formula are also given.
A new homogeneous inequality and a few of its applications
Author: Marin Bancoș
Abstract: An original homogeneous inequality, written for 2 sets of n variables, represents the starting point of the paper. This inequality is the key to the other theoretical results, and could be considered as a simple, but new and powerful mathematical tool.
The processing of data for statistical tests of their basic parameters
Author: Ștefan Berezny
Abstract: This article focuses on the application of established data on flight delays at the airport Kosice and its adaptation for further processing. These data were recorded for 36 months of 2006--2008. Modification of data is necessary for their further analysis in terms of time series analysis. Statistical tests of the basic parameters of the values of the flight delays at the airport Kosice are made with their analysis.
Blending surfaces generated using the Bernstein operator
Author: Marius M. Birou
Abstract: In this paper we construct blending surfaces using the univariate
Bernstein operator. The surfaces have the properties that they
stay on a curve (the border of the surfaces domain) and
have a fixed height in a point from the domain. The surfaces are
generated using a curve network, instead of the control points
from the case of classical Bezier surfaces. We study the
monotonicity and we give conditions to obtain concave surfaces.
Ulam-Hyers stability of fixed point equations for singlevalued operators on KST spaces
Author: Liliana Guran
Abstract: In this paper we define the notions of Ulam-Hyers stability with
respect to a w-distance (in the sense of Kada, Suzuki and
Takahashi) and prove several Ulam-Hyers stability results for
operators satisfying to a contractive-type condition with respect to
On a subclass of analytic functions defined by Ruscheweyh operator
Author: Abdul Rahman Salman Juma / Luminița-Ioana Cotârlă
Abstract: By using the Ruscheweyh derivative, we have introduced a subclass of analytic functions with negative coefficients in the unit disc. Some properties of analytic function as necessary and sufficient coefficient condition for this class are provided. Distortion bounds, inclusion relation and various properties are also determined.
Use of GeoGebra in teaching about central tendency and spread variability
Author: Pellumb Kllogjeri / Adrian Kllogjeri
Abstract: In data analysis are used graphs, tables, and numerical summaries to study the variation present in data under study. Graphs are effective visual tools because they present information quickly and easily. Graphs are commonly used by print and electronic media and, data can be better understood when presented by a graph than by a table because the graph can reveal a trend or comparison. Graphs display the relationship between variables or show the value spread of a given variable or phenomenon. Measuring the central tendency we identify the most representative value in a set of data. Mean, median and mode give different perspectives of a data set's centre, but a data description is not complete until the spread variability is also known. The basic numerical description of a data set requires measures of both centre and spread. In this paper we will be concentrated on graphical representation of data collected from a population. A useful tool to get such nice visual representations is GeoGebra. GeoGebra is an interactive geometry system and, by the use of its virtual tools, we can do constructions with points, vectors, segments, lines; we can construct histogram and geometrically show the positions of the median and quartiles . GeoGebra provides numerical calculations for the measures of data centre and spread. GeoGebra software is very useful and helpful for teachers and students to graphically present data and easy understand and interpret them . Also, GeoGebra is dynamic mathematics software for schools that joins geometry, algebra, and calculus. Using this dynamic feature in the teaching hour of statistics, the students have a better and fuller understanding about data measures and data spread.
The generalization of certain results for Szasz-Mirakjan-Schurer operators
Author: Dan Miclăuș / Ovidiu T. Pop
Abstract: The present article continues earlier research by authors, in order to reach two goals. Firstly, we give a general formula concerning calculation of the test functions by Szasz-Mirakjan-Schurer operators and secondly, we establish a Voronovskaja type theorem, the uniform convergence and the order of approximation using the modulus of continuity for the same operators.
Abstract: The purpose of the work is to present some Ulam-Hyers stability
results for the coincidence point problem associated to
single-valued and multi-valued operators. As an application, an
Ulam-Hyers stability theorem for a differential inclusion.
Abstract: Software design based on Model Driven Architecture can be essentially improved
including agile principles as immediate execution and test first development.
This paper shows how a concrete tool, the ComDeValCo framework, has been
constructed and enhanced to support such an approach. The paper discusses in
detail how the constructs for component models and for the dynamic execution
environment have been introduced.