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East Asian mathematical journal
Journal Basic Information
pISSN :
1226-6973
eISSN :
2287-2833
Journal DOI :
10.7858/eamj
Frequency :
Others
Publisher:
Youngnam Mathematical Society
Editor in Chief :
Jong-Kyu Kim
Volume & Issues
Volume 32, Issue 4 - Aug 2016
Volume 32, Issue 3 - May 2016
Volume 32, Issue 2 - Feb 2016
Volume 32, Issue 1 - Jan 2016
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1
TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD OF A QUASI-CONSTANT CURVATURE
Jin, Dae Ho ;
East Asian mathematical journal , volume 32, issue 1, 2016, Pages 1~11
DOI : 10.7858/eamj.2016.001
Abstract
We study transversal half lightlike submanifolds of an indefinite Kaehler manifold of a quasi-constant curvature. First, we provide a new result for such a transversal half lightlike submanifold. Next, we investigate a statical half lightlike submanifold M such that (1) the screen distribution S(TM) is totally umbilical, or (2) M is screen homothetic.
2
CONVERGENCE OF NEWTON'S METHOD FOR SOLVING A NONLINEAR MATRIX EQUATION
Meng, Jie ; Lee, Hyun-Jung ; Kim, Hyun-Min ;
East Asian mathematical journal , volume 32, issue 1, 2016, Pages 13~25
DOI : 10.7858/eamj.2016.002
Abstract
We consider the nonlinear matrix equation
, where p and q are positive integers, A, B and E are
nonnegative matrices, C and D are arbitrary
real matrices. A sufficient condition for the existence of the elementwise minimal nonnegative solution is derived. The monotone convergence of Newton's method for solving the equation is considered. Several numerical examples to show the efficiency of the proposed Newton's method are presented.
3
ON REFINEMENTS OF HÖLDER'S INEQUALITY II
Kwon, Ern G. ; Bae, Jung E. ;
East Asian mathematical journal , volume 32, issue 1, 2016, Pages 27~33
DOI : 10.7858/eamj.2016.003
Abstract
Generalized
inequality developed by H. Qiang and Z. Hu is further refined. Also, generalized
inequality developed by X. Yang is further refined.
4
A ROLE OF SYMBOLS OF MINIMUM TYPE IN EXPONENTIAL CALCULUS
LEE, Chang Hoon ;
East Asian mathematical journal , volume 32, issue 1, 2016, Pages 35~41
DOI : 10.7858/eamj.2016.004
Abstract
We introduce formal symbols of product type and of minimum type and show that the formal power series representation for
is a formal symbol of product type, where p is a formal symbol of minimum type.
5
SOME INTEGRAL REPRESENTATIONS OF THE CLAUSEN FUNCTION Cl
_{2}
(x) AND THE CATALAN CONSTANT G
Choi, Junesang ;
East Asian mathematical journal , volume 32, issue 1, 2016, Pages 43~46
DOI : 10.7858/eamj.2016.005
Abstract
The Clausen function
(x) arises in several applications. A large number of indefinite integrals of logarithmic or trigonometric functions can be expressed in closed form in terms of
(x). Very recently, Choi and Srivatava [3] and Choi [1] investigated certain integral formulas associated with
(x). In this sequel, we present an interesting new definite integral formula for the Clausen function
(x) by using a known relationship between the Clausen function
(x) and the generalized Zeta function
(s, a). Also an interesting integral representation for the Catalan constant G is considered as one of two special cases of our main result.
6
BI-UNIVALENT FUNCTIONS OF COMPLEX ORDER BASED ON SUBORDINATE CONDITIONS INVOLVING HURWITZ-LERCH ZETA FUNCTION
Murugusundaramoorthy, G. ; Janani, T. ; Cho, Nak Eun ;
East Asian mathematical journal , volume 32, issue 1, 2016, Pages 47~59
DOI : 10.7858/eamj.2016.006
Abstract
The purpose of the present paper is to introduce and investigate two new subclasses of bi-univalent functions of complex order defined in the open unit disk, which are associated with Hurwitz-Lerch zeta function and satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients
and
for functions in the new subclasses. Several (known or new) consequences of the results are also pointed out.
7
HEIGHT ESTIMATES FOR DOMINANT ENDOMORPHISMS ON PROJECTIVE VARIETIES
Lee, Chong Gyu ;
East Asian mathematical journal , volume 32, issue 1, 2016, Pages 61~75
DOI : 10.7858/eamj.2016.007
Abstract
If
is a polarizable endomorphism on a projective variety, then the Weil height machine guarantees that
satisfies Northcott's theorem. In this paper, we show that Northcott's theorem only holds for polarizable endomorphisms and generalize this result to arbitrary dominant endomorphisms: we introduce the height expansion and contraction coefficients which provide weak Northcott's theorem for dominant endomorphisms. We also give some applications of the height expansion and contraction coefficients.
8
(1,1)-DECOMPOSITIONS OF RATIONAL PRETZEL KNOTS
Song, Hyun-Jong ;
East Asian mathematical journal , volume 32, issue 1, 2016, Pages 77~84
DOI : 10.7858/eamj.2016.008
Abstract
We explicitly derive diagrams representing (1,1)-decompositions of rational pretzel knots
from four unknotting tunnels for
and 2.
9
THE BASKET NUMBERS OF LINKS OF 6 CROSSINGS OR LESS
KIM, DONGSEOK ; KIM, GUNWOO ; LEE, MINWOO ; PARK, SUNG-HAN ; SON, DONGBUM ; BAE, CHEOLMIN ;
East Asian mathematical journal , volume 32, issue 1, 2016, Pages 85~91
DOI : 10.7858/eamj.2016.009
Abstract
In present article, we find a complete classification theorem of links of basket numbers 2 or less. As an application, we study the basket numbers of links of 6 crossings or less.
10
ON THE INDEFINITE POSITIVE QUADRIC ℚ
_{+}
^{n-2}
Hong, Seong-Kowan ;
East Asian mathematical journal , volume 32, issue 1, 2016, Pages 93~100
DOI : 10.7858/eamj.2016.010
Abstract
The generalized Gaussian image of a spacelike surface in
lies in the indefinite positive quadric
in the open submanifold
of the complex projective space
. The purpose of this paper is to find out detailed information about
.
11
ERROR ESTIMATES FOR A SEMI-DISCRETE MIXED DISCONTINUOUS GALERKIN METHOD WITH AN INTERIOR PENALTY FOR PARABOLIC PROBLEMS
Ohm, Mi Ray ; Lee, Hyun Young ; Shin, Jun Yong ;
East Asian mathematical journal , volume 32, issue 1, 2016, Pages 101~115
DOI : 10.7858/eamj.2016.011
Abstract
In this paper, we consider a semi-discrete mixed discontinuous Galerkin method with an interior penalty to approximate the solution of parabolic problems. We define an auxiliary projection to analyze the error estimate and obtain optimal error estimates in
for the primary variable u, optimal error estimates in
for ut, and suboptimal error estimates in
for the flux variable
.
12
STABILIZATION FOR THE VISCOELASTIC KIRCHHOFF TYPE EQUATION WITH A NONLINEAR SOURCE
Kim, Daewook ;
East Asian mathematical journal , volume 32, issue 1, 2016, Pages 117~128
DOI : 10.7858/eamj.2016.012
Abstract
In this paper, we study the viscoelastic Kirchhoff type equation with a nonlinear source
. Under the smallness condition with respect to Kirchhoff coefficient and the relaxation function and other assumptions, we prove the uniform decay rate of the Kirchhoff type energy.
13
THE METHOD OF REGULARIZATION RATIOS APPLIED TO RECONSTRUCTIONS OF ELASTIC RIGID OBSTACLES VIA THE FACTORIZATION METHOD
Kim, K. ; Leem, K.H. ; Pelekanos, G. ;
East Asian mathematical journal , volume 32, issue 1, 2016, Pages 129~138
DOI : 10.7858/eamj.2016.013
Abstract
In this paper, we propose an efficient regularization technique (The Method of Regularized Ratios) for the reconstruction of the shape of a rigid elastic scatterer from far field measurements. The approach used is based on the factorization method and creates via Picard's condition ratios, baptized Regularized Ratios, that serve to effectively remove unwanted singular values that may lead to poor reconstructions. This is achieved through the use of a sophisticated algorithm that progressively adjusts an initially set moderate tolerance. In comparison with the well established Tikhonov-Morozov regularization techniques our new algorithm appears to be more computationally efficient as it doesn't require computation of the regularization parameter for each point in the grid.
14
A MATHEMATICAL MODEL OF IMMUNE-MEDIATED DISORDER IN INFLAMMATORY BOWEL DISEASE
Park, Anna ; Jung, Il Hyo ;
East Asian mathematical journal , volume 32, issue 1, 2016, Pages 139~152
DOI : 10.7858/eamj.2016.014
Abstract
Inflammatory Bowel Disease(IBD) is chronic, relapsing, immune mediated disorder. The exact cause of IBD is still unknown. The immune system is known to play important role in the dynamics of IBD. We focus on relation between T cells and cytokines in immune system that leads to IBD. In this paper, we propose a mathematical model describing IBD under considering immune mediated disorder by using ordinary differential equations. The existence and stability of the model are established, where an applicable basin of attraction are calculated and examined. Some numerical simulations are presented to verify the proposed results and as changing parameter values given by sensitivity analysis, we show how to change dynamic behaviors of the model.