The Australian Journal of Mathematical Analysis and Applications

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ISSN 1449-5910  


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3: Paper Source PDF document

Paper's Title:

Some Approximation for the linear combinations of modified Beta operators


Naokant Deo

Department of Applied Mathematics
Delhi College of Engineering
Bawana Road, Delhi - 110042,


In this paper, we propose a sequence of new positive linear operators βn to study the ordinary approximation of unbounded functions by using some properties of the Steklov means.

2: Paper Source PDF document

Paper's Title:

Analysis of the Dynamic Response of the Soil-pile Behavioral Model Under Lateral Load


Ibrahima Mbaye, Mamadou Diop, Aliou Sonko and Malick Ba

University of Thies,
Department of Mathematics, Bp 967 Thies,


This work aims to extend and improve our previous study on mathematical and numerical analysis of stationary Pasternak model. In this paper a dynamic response of Pasternak model is considered. On the one hand we establish the existence and uniqueness of the solution by using the Lax-Milgram theorem and the spectral theory thus the existence of a Hilbert basis is shown and the spectral decomposition of any solution of the problem can be established and on the other hand the finite element method is used to determinate the numerical results. Furthermore, the influence of soil parameters Gp and Kp on the displacement of the pious is studied numerically at any time tn.

1: Paper Source PDF document

Paper's Title:

Some Properties of the Marshall-Olkin and Generalized Cuadras-Augé Families of Copulas


Edward Dobrowolski and Pranesh Kumar

Department of Mathematics and Statistics
University of Northern British Columbia
Prince George, BC,
Canada, V2N 4Z9



We investigate some properties of the families of two parameter Marshall-Olkin and Generalized Cuadras-Augé copulas. Some new results are proved for copula parameters, dependence measure and mutual information. A numerical application is discussed.

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