전체 | 과거현황 (2017년 이전) | 논문

23

p-adic interpolating function associated with Euler numbers

Taekyun Kim , Daeyeoul Kim & Ja Kyung Koo | Journal of Nonlinear Mathematical Physics 14/2 (2007)

In this paper, we investigate some relations between Bernoulli numbers and FrobeniusEuler numbers, and we study the values for p-adic l-function

22

New approach to the complete sum of products of the twisted (h,q)-Bernoulli numbers and polynomials

Kurt,V.,김대열,Simsek,Y. | J. Nonlinear Math. Phys. 14/1 (2007)

21

On a cubic equation and a Jensen-quadratic equation

Jae-Hyeong Bae and Won-Gil Park | Abstract and Applied Analysis 2007 (2007)

We obtain the general solutions of the cubic functional equation 3[g(x+y)+g(x−y)+6g(x)]=2g(2x+y)+2g(2x−y)+g(−x−y)+g(−x+y)+6g(−x) and the Jensen-quadratic functional equation f((x+y)/2,z+w)+f((x+y)/2,z−w)=f(x,z)+f(x,w)+f(y,z)+f(y,w).

20

A multi-dimensional functional equation having quadratic forms as solutions

Won-Gil Park and Jae-Hyeong Bae | Journal of Inequalities and Applications 2007 (2007)

We obtain the general solution and the stability of the-variable quadratic functional equation The quadratic form is a solution of the given functional equation.

19

On exact convergence rate of strong numerical schemes for stochastic differential equations

Dougu Nam | Bulletin of the Korean Mathematical Society 44/1 (2007)

We propose a simple and intuitive method to derive the exact convergence rate of global L2-norm error for strong numerical approximation of stochastic differential equations the result of which has been reported by Hofmann and M\"uller-Gronbach(2004). We conclude that any strong numerical scheme of order γ>1/2 has the same optimal convergence rate for this error. The method clearly reveals the structure of global L2-norm error and is similarly applicable for evaluating the convergence rate of global uniform approximations

18

On the infinite products derived from theta series I

김대열,Ja Kyung Koo | J. Korean Math. Soc. 44/1 (2007)

17

A functional equation originating from quadratic forms

Jae-Hyeong Bae and Won-Gil Park | Journal of Mathematical Analysis and Applications 326/2 (2007)

In this paper, we obtain the general solution and the stability of the 2-variable quadratic functional equationf(x+y,z+w)+f(x−y,z−w)=2f(x,z)+2f(y,w). The quadratic form f(x,y)=ax2+bxy+cy2 is a solution of the above functional equation.？

16

Inverse shadowing in Geometric Lorenz flows

Taeyoung Choi,Manseob Lee | Journal of the chungcheong mathematical society 20/4 (2007)

We introduce the inverse shadowing property of geometric Lorenz flows and prove that the geometric Lorenz flows do not have the inverse shadowing property.

15

Determination of the KMC Parameters for Indium Diffusion in Silicon Substrates via an Ab-Initio Calculation

Kwan-Sun Yoon,Chi-Ok Hwang and Taeyoung Won | Journal of the Korean Physical Society 50/6 (2007)

We report that the prefactor for the migration of neutral indium has been successfully determined via an ab-initio calculation in combination with classical rate theory for the first time. Our theoretical approach starts with a search for the saddle points of indium in the transition state from the initial state to final state by using a climbing image nudged elastic band (CINEB) method, which enables us to extract the migration energy, 0.79 eV, for indium. Thereafter, we obtain the prefactor of neutral indium by calculating the effective frequencies in the initial and the final states by using a dynamical matrix method.

14

Compact adjoint operators and approximation properties

Ju Myung Kim | Journal of Mathematical Analysis and Applications 327 (2007)

This paper is concerned with the space of all compact adjoint operators from dual spaces of Banach spaces into dual spaces of Banach spaces and approximation properties. For some topology on the space of all bounded linear operators from separable dual spaces of Banach spaces into dual spaces of Banach spaces, it is shown that if a bounded linear operator is approximated by a net of compact adjoint operators, then the operator can be approximated by a sequence of compact adjoint operators whose operator norms are less than or equal to the operator norm of the operator. Also we obtain applications of the theory and, in particular, apply the theory to approximation properties.

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