• Korean Journal of Mathematics
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• 제32권1호
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• pp.59-72
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• 2024

In the presented paper, the first section contains strong convergence and demiclosedness property of a sequence generated by Karakaya et al. iteration scheme in a Hilbert space for quasi-nonexpansive mappings and also the comparison between the iteration scheme given by Karakaya et al. with well-known iteration schemes for the convergence rate. The second section contains some applications of the fixed point theory in solution of different mathematical problems.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제23권3호
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• pp.203-210
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• 2019

We present the three-dimensional volume reconstruction model using the modified Cahn-Hilliard equation with a fractional Laplacian. From two-dimensional cross section images such as computed tomography, magnetic resonance imaging slice data, we suggest an algorithm to reconstruct three-dimensional volume surface. By using Laplacian operator with the fractional one, the dynamics is changed to the macroscopic limit of Levy process. We initialize between the two cross section with linear interpolation and then smooth and reconstruct the surface by solving modified Cahn-Hilliard equation. We perform various numerical experiments to compare with the previous research.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제30권1호
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• pp.67-81
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• 2023

The current article manages with new generalization of Post-Widder operators preserving constant function and other test functions in Bohmann-Korovkin sense and studies the approximation properties via different estimation tools like modulus of continuity and approximation in weighted spaces. The viability of the recently modified operators as per classical Post-Widder operators is introduced in specific faculties also. Numerical examples are additionally introduced to verify our theortical results. In second last section we introduce Grüss-Voronovskaya results and in last section, we show the better approximation our new modified operators via graphical exmaples using Mathematica.

• Journal of applied mathematics & informatics
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• 제18권1_2호
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• pp.563-572
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• 2005

In this paper, we obtain the general solution and the generalized Hyers-Ulam stability of the additive-quadratic functional equation f(x + y, z + w) + f(x + y, z - w) = 2f(x, z)+2f(x, w)+2f(y, z)+2f(y, w).

• Korean Journal of Mathematics
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• 제14권1호
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• pp.65-70
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• 2006

In this article, we mention some subsequent developments of the theory of cluster sets, and present a new boundary cluster set for a simply connected domain in the complex plane and its applications.

• 한국수학사학회지
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• 제16권4호
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• pp.69-78
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• 2003

In this paper, we examine human perception and mentality on the shape, and study the correlation of golden section with nature and human being.

• Journal of applied mathematics & informatics
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• 제20권1_2호
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• pp.647-655
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• 2006

We consider the applications of modulus to the boundary behavior of meromorphic functions in connection with the singularities. The proofs are based on the method of modulus. The relations between the moduli and the logarithmic capacities shall be introduced and we have shown that the conformal capacity is related to the modulus.

• Journal of applied mathematics & informatics
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• 제30권5_6호
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• pp.865-869
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• 2012

In [2], D. Gaier has given an estimates of harmonic measure. In this paper, we generalize for the K-quasiconformal mapping the corresponding result.

• Journal of applied mathematics & informatics
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• 제12권1_2호
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• pp.385-393
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• 2003

Let Y(t) be a stochastic integral process represented by Brownian motion. We show that YHt (t) is continuous in t with probability one for Molder function Ht of exponent ${\beta}$ and finally we derive asymptotic self-similar process YM (t) which converges to Yw (t).

• 대한수학교육학회지:학교수학
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• 제15권4호
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• pp.995-1013
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• 2013

본 연구의 목적은 현직교사의 이차곡선 영역 수학내용 지식의 이해 정도를 조사하는 데 있다. 이를 위해 수학교사에게 필요한 수학 내용 지식을 학교수학의 내용지식과 과정지식, 학교수학과 연결된 학문적 수학으로 구분하고, 이를 교육과정과 연결하여 검사지를 개발하였다. 연구대상은 수학과 심화연수에 참여한 현직교사 24명이었으며, 연구결과 현직 수학교사들은 타원과 쌍곡선의 원뿔곡선의 정의와 이심률 정의에 대한 인지도가 낮았으며, 특히 이심률에 의한 정의를 쓴 교사는 1명도 없었다. 그리고 단델린 공을 이용한 원추곡선 정의와 이차곡선 정의의 동치관계를 설명하는 것을 어려워했다. 또한 타원과 쌍곡선의 접선 작도 문제에 대해서는 접선작도법 자체에 대한 문제보다 접선을 이용한 응용원리를 묻는 문제에 대해 옳게 반응한 비율이 높은 것으로 나타났다. 이러한 연구결과는 교사교육 프로그램에서 수학 내용 지식에 대한 학습 기회를 충분히 제공할 필요가 있음을 시사한다.