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The Australian Journal of Mathematical Analysis and Applications
ISSN 1449-5910 |
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Paper's Title:
Divergence Conditions for Continued Reciprocal Powers
Author(s):
Dixon J. Jones
Coralville IA
USA 52241.
E-mail: d.j.jones.1798@gmail.com
URL: https://dixonjjones.com/math/
Abstract:
We derive conditions on a continued reciprocal power's (strictly positive) terms sufficient for its divergence. The work involves reviewing and extending convergence criteria for continued supraunitary powers. We close with a brief comment on the history of a convergence condition for continued roots.
Paper's Title:
Normalized Truncated Levy models applied to the study of Financial Markets
Author(s):
M. C. Mariani, K. Martin, D. W. Dombrowski and D. Martinez
Department of Mathematical Sciences and Department of Finance,
New Mexico State University, P.O. Box 30001
Department 3MB Las Cruces, New Mexico 88003-8001
USA.
mmariani@nmsu.edu
kjmartin@nmsu.edu
Abstract:
This work is devoted to the study of the statistical properties of financial instruments from developed markets. We performed a new analysis of the behavior of companies corresponding to the DJIA index, and of the index itself, by using a normalized Truncated Levy walk model. We conclude that the Truncated Levy distribution describes perfectly the evolution of the companies and of the index near a crash.
Paper's Title:
Reverse Hölder and Minkowski type integral inequalities for n functions
Author(s):
Panagiotis T. Krasopoulos and Lazhar Bougoffa
Department of Informatics, KEAO,
Electronic National Social Security Fund,
12 Patision St., 10677, Athens,
Greece.
E-mail: pan_kras@yahoo.gr
pankras@teemail.gr
Department of Mathematics,
Faculty of Science, Imam Mohammad Ibn Saud Islamic University,
P.O. Box 90950, Riyadh 11623,
Saudi Arabia.
E-mail: lbbougoffa@imamu.edu.sa
bougoffa@hotmail.com
Abstract:
We present and prove new reverse Hölder and Minkowski type integral inequalities for n functions. We compare our results with other known results from the relative literature in order to test their performance. In this respect, our theorems can be viewed as generalizations of some already known integral inequalities.
Paper's Title:
An Easy and Efficient Way for Solving A class of Singular Two Point Boundary Value Problems
Author(s):
Muhammed I. Syam, Muhammed N. Anwar and Basem S. Attili
Mathematical Sciences Department
United Arab Emirates University, P. O. Box 17551
Al-Ain, United Arab Emirates
b.attili@uaeu.ac.ae
Abstract:
We will consider an efficient and easy way for solving a certain
class of singular two point boundary value problems. We will
employ the least squares method which proved to be efficient for
this type of problems. Enough examples that were considered by
others will be solved with comparison with the results presented
there.
Paper's Title:
Compactly Supported Interpolatory Orthogonal Multiwavelet Packets
Author(s):
Yang Shouzhi
Department of Mathematics,
Shantou University,
Shantou, Po Box 515063,
P.R.China.
szyang@stu.edu.cn
Abstract:
Compactly supported interpolatory orthogonal multiwavelet packets
are introduced. Precisely, if both the multiscaling function and
the corresponding multiwavelet have the same interpolatory
property, then the multiwavelet packets are also interpolatory
orthogonal. Thus, the coefficients of decomposition or synthesis
of multiwavelet packets can be realized by sampling instead of inner
products. This multiwavelet packets provide a finer decomposition
of multiwavelet packets space and give a better localization.
Paper's Title:
On Some
Mapping Properties of M
Author(s):
Nihal Yilmaz Özgür
Balkesir University,
Faculty of Arts and Sciences, Department of Mathematics,
10145 Balkesir,
TURKEY
nihal@balikesir.edu.tr
URL: http://w3.balikesir.edu.tr/~nihal/
Abstract:
We consider spheres corresponding to any norm function on the complex plane and their images under the Möbius transformations. We see that the sphere preserving property is not an invariant characteristic property of Möbius transformations except in the Euclidean case.
Paper's Title:
On an Autocorrection Phenomenon of the Eckhoff Interpolation
Author(s):
A. Poghosyan
Institute of Mathematics, National Academy
of Sciences,
24b Marshal Baghramian ave., Yerevan 0019,
Republic of Armenia
arnak@instmath.sci.am
Abstract:
The paper considers the Krylov-Lanczos and the Eckhoff interpolations of a function with a discontinuity at a known point. These interpolations are based on certain corrections associated with jumps in the first derivatives. In the Eckhoff interpolation, approximation of the exact jumps is accomplished by the solution of a system of linear equations. We show that in the regions where the 2-periodic extension of the interpolated function is smooth, the Eckhoff interpolation converges faster compared with the Krylov-Lanczos interpolation. This accelerated convergence is known as the autocorrection phenomenon. The paper presents a theoretical explanation of this phenomenon. Numerical experiments confirm theoretical estimates.
Paper's Title:
Global Analysis on Riemannian Manifolds
Author(s):
Louis Omenyi and Michael Uchenna
Department of Mathematics, Computer
Science, Statistics and Informatics,
Alex Ekwueme Federal University, Ndufu-Alike,
Nigeria.
E-mail: omenyi.louis@funai.edu.ng,
michael.uchenna@funai.edu.ng
URL: http://www.funai.edu.ng
Abstract:
In this paper, an exposition of the central concept of global analysis on a Riemannan manifold is given. We extend the theory of smooth vector fields from open subsets of Euclidean space to Riemannan manifolds. Specifically, we prove that a Riemannian manifold admits a unique solution for a system of ordinary differential equations generated by the flow of smooth tangent vectors. The idea of partial differential equations on Riemannian manifold is highlighted on the unit sphere.
Paper's Title:
Applications of Von Neumann Algebras to Rigidity Problems of (2-Step) Riemannian (Nil-)Manifolds
Author(s):
Atefeh Hasan-Zadeh and Hamid-Reza Fanai
DFouman Faculty of Engineering,
College of Engineering, University of Tehran,
Iran.
E-mail: hasanzadeh.a@ut.ac.ir
Department of Mathematical Sciences,
Sharif University of Technology,
Iran
E-mail: fanai@sharif.edu
Abstract:
In this paper, basic notions of von Neumann algebra and its direct analogues in the realm of groupoids and measure spaces have been considered. By recovering the action of a locally compact Lie group from a crossed product of a von Neumann algebra, other proof of one of a geometric propositions of O'Neil and an extension of it has been proposed. Also, using the advanced exploration of nilmanifolds in measure spaces and their corresponding automorphisms (Lie algebraic derivations) a different proof of an analytic theorem of Gordon and Mao has been attained. These two propositions are of the most important ones for rigidity problems of Riemannian manifolds especially 2-step nilmanifolds.
Paper's Title:
Discrete-time Evolution and Stable Equilibria of Multi-compartment Dengue Tracker: Nonlinear Dynamics Modulated by Controlled Stochasticity
Author(s):
M. Bhaduri and M. Predescu
Department of Mathematical Sciences,
Bentley University,
Waltham, MA 02452,
U.S.A.
E-mail: mbhaduri@bentley.edu,
mpredescu@bentley.edu
Abstract:
We discuss the dynamics of solutions of a nonlinear discrete time model that will be useful in Dengue control. The proposed model may be utilized to analyze the dynamics of three variables (mosquito population, habitats and consciousness) across different parameters. Stochasticity has been introduced in realistic ways to highlight combinations of random parameters (on education and recollection) which limits the oscillatory recurrence of habitats and awareness. We propose optimal methods for implementing potential intervention strategies and offer interactive dashboards for vizualizing varied scenarios.
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