i-manager's Journal on Mathematics (JMAT)


Volume 1 Issue 1 January - March 2012

Article

New Representation of Biharmonic Curves in Special 3-Dimensional Kenmotsu Manifold

Talat Körpinar* , Essin TURHAN**
*-** Firat University, Department of Mathematics, Elazi.
Körpinar, T., and Turhan, E. (2012). New Representation Of Biharmonic Curves In Special 3-Dimensional Kenmotsu Manifold. i-manager’s Journal on Mathematics, 1(1), 1-7. https://doi.org/10.26634/jmat.1.1.1662

Abstract

In this article, the authors study matrix representation of biharmonic curves in 3-dimensional Kenmotsu manifold. We characterize Frenet frame of the biharmonic curves in terms of their curvature and torsion in special 3-dimensional Kenmotsu manifold.

Article

On the Uniform Approximation of Analytic Functions By Fejer Type Sums of Faber Series

T. TUNC* , M. KUCUKASLAN**
*-** Mersin University Faculty of Science and Literature, Department of Mathematics, Mersin, TURKEY.
Tunc, T., and Kucukaslan, M. (2012). On The Uniform Approximation of Analytic Functions by Fejer Type Sums of Faber Series. i-manager’s Journal on Mathematics, 1(1), 8-11. https://doi.org/10.26634/jmat.1.1.1663

Abstract

In this paper, a submethod of De la Vallee-Poussin method is defined. The deviation of any function analytic in a region with bounded variation boundary from the polynomials obtained by applying the submethod to the Faber series of the function is estimated.

Research Paper

A New Hilbert-type Integral Inequality with the Homogeneous Kernel of 1/2 Degree Form and the Integral in Whole Plane

Xie Zitian* , Zheng Zeng**
* Department of Math. Zhaoqing University, Zhaoqing, Guangdong, P. R. China.
** Shaoguan University, Shaoguan, Guangdong, China.
Zitian, X., and Zheng, Z. (2012). A New Hilbert-Type Integral Inequality with The Homogeneous Kernel of ½ Degree Form and The Integral in Whole Plane. i-manager’s Journal on Mathematics, 1(1), 12-17. https://doi.org/10.26634/jmat.1.1.1664

Abstract

In this paper, the authors build a new Hilbert's inequality with the homogeneous kernel of 1/2 order and the integral in whole plane. The equivalent inequality is considered. The best constant factor is calculated using Complex Analysis.

Research Paper

The Effect of Slip Condition, Radiation and Chemical Reaction on Unsteady MHD Periodic Flow of a Viscous Fluid through Saturated Porous Medium in a Planer Channel

Tavva Sudhakar Reddy* , M. C. Raju**, S. Vijaya Kumar Varma***
* Department of Mathematics, Shree Rama Educational Society Group of institutions, Tirupathi,Chittor District, Andhra Pradesh, India.
** Department of Mathematics, Annamacharya Institute of Technology and Sciences Rajampet, Kadapa District, Andhra Pradesh, India.
*** Department of Mathematics, Sri Venkateswara University, Tirupati, Andhra Pradesh, India.
Reddy, T.S., Raju, M.C., and Varma, S.V.K. (2012). The Effect of Slip Condition, Radiation and Chemical Reaction on Unsteady MHD Periodic Flow of a Viscous Fluid Through Saturated Porous Medium in a Planer Channel. i-manager’s Journal on Mathematics, 1(1), 18-28. https://doi.org/10.26634/jmat.1.1.1665

Abstract

In this paper the effect of slip condition, Chemical reaction, radiation and unsteady periodic flow of a viscous incompressible fluid through a porous medium in the presence of magnetic field is studied. The governing equations have been solved by general perturbation technique. The analytical solutions for velocity, temperature, concentration are presented and the effects of various physical parameters like Hartmann number M, Reynolds number Re,, Grashof number Gr, modified Grashof number Gm, permeability parameter k , the chemical reaction parameter kc, and Schmidt number on velocity, temperature and concentration are studied though graphs. The expression for skin friction is also derived and the effects of various physical parameters mentioned above are discussed. It is observed that the velocity of a fluid increases with an increase in slip parameter h, and it shows reverse effect in the case magnetic parameter M and concentration decreases with an increase in chemical reaction parameter kc.

Research Paper

On some dynamical properties of the discontinuous dynamical system represents the Logistic equation with different delays

A.M.A. El-Sayed* , M.E. Nasr**
* Faculty of Science, Alexandria University, Alexandria, Egypt.
** Faculty of Science, Benha University, Benha, Egypt.
El-Sayed, A.M.A., and Nasr, M.E. (2012). On Some Dynamical Properties of The Discontinuous Dynamical System Represents the Logistic Equation with Different Delays. i-manager’s Journal on Mathematics, 1(1), 29-33. https://doi.org/10.26634/jmat.1.1.1667

Abstract

In this work the authors are concerned with the discontinuous dynamical system representing the problem of the logistic retarded functional equation. The existence of a unique solution  which is continuously dependence on the initial data will be proved. The local stability at the equilibrium points will be studied. The bifurcation analysis and chaos will be discussed.

Research Paper

Surfaces in R3 with density

Lakehal BELARBI* , Mohamed Belkhelfa**
*-** Laboratoire de physique quantique de la matière et modélisation mathématiques de matière, (LPQ3M), Université de Mascara, Algérie.
Belarbi, L., and Belkhelfa, M. (2012). Surfaces In R3 With Density. i-manager’s Journal on Mathematics, 1(1), 34-48. https://doi.org/10.26634/jmat.1.1.1845

Abstract

In this paper, the authors write the equation of minimal surfaces in R with linear density (in the case j(x,y,z) = x, j(x,y,z) = y and j(x,y,z) = z), and they characterize some solutions of the equation of minimal graphs in R3 with linear j 3 density = e , and they write the j -Gauss curvature and the j - mean curvature formulae of the revolution surfaces in R with radial density .