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Hee-sun Jeong

Sungkyunkwan University · Mathematics

About the Lab

Professor Hee-sun Jeong's research spans educational psychology and mathematical analysis, with a strong focus on student motivation, academic achievement, and the psychological factors influencing learning outcomes in mathematics. Her work explores the interplay between intrinsic motivation, teacher and parental expectations, and academic performance among middle school students. In parallel, she conducts advanced mathematical research on approximation theory, including the convergence properties of various operators such as Szász-beta and Lagrange interpolation polynomials under exponential weights. Her interdisciplinary approach bridges educational intervention with rigorous mathematical analysis.

mathematical educationintrinsic motivationapproximation theoryLagrange interpolationSzász operators

Research Overview

Papers
44
Total Citations
129
Papers (5y)
15
Primary Field
Mathematics

Research Output Trend

Figures are computed from collected data and may differ slightly.

Publications per year (5y)
15total
2022
2023
2024
2025
2026
Citations per year (5y)
31total
20222023202420252026

Selected Papers

15
1
Article|26 citations·2014
Pointwise approximation by Bernstein type operators in mobile interval
Hee Sun Jung, Naokant Deo, Minakshi Dhamija
SJR Q1Applied Mathematics and Computation
Statistics and ProbabilityMathematics
2
Article|15 citations·2016
수학 내재적 동기 수준에 따른 교사와 부모의 성취압력이 수학 학업성취에 미치는 영향
김보경, 정희선

본 연구에서는 중학교 2학년의 수학 학업성취도에 대한 교사와 부모의 성취압력과 수학 내재적동기의 영향력과 조절효과를 검증하였다. 연구 결과, 수학 내재적동기의 수준에 따라, 수학 내재적동기가 높은 집단에서 교사의 성취압력은 수학 학업성취도에 부적인 영향을 미치는 반면, 수학 내재적동기 중·하집단에서는 교사의 성취압력이 수학 학업성취도에 정적인 영향을 미치는 것으로 나타났다. 부모의 성취압력은 수학 내재적동기가 높은 집단과 낮은 집단 모두 수학 학업성취도에 정적인 영향을 미치고, 특히 수학 내재적동기가 중·상인 집단이 하집단에 비해 수학 학업성취도에 더 큰 효과를 나타냈다. 이러한 연구 결과를 바탕으로 교사와 부모의 성취압력을 통해 수학 학업성취도를 높일 수 있는 방안이 논의되었으며, 후속 연구를 위한 연구의 제한점을 제시하였다.

3
Article|12 citations·2017
Implication of multivalent aptamers in DNA and DNA–RNA hybrid structures for efficient drug delivery in vitro and in vivo
Yoon Young Kang, JiHyeon Song, Hee Sun Jung, Gijung Kwak, Gyeonghui Yu, Joong-Hoon Ahn, Sun Hwa Kim, Hyejung Mok
SJR Q1Journal of Industrial and Engineering Chemistry
Molecular BiologyBiochemistry, Genetics and Molecular Biology
4
Article|10 citations·2023
Association between COVID-19 and incidence of cardiovascular disease and all-cause mortality among patients with diabetes
Hee Sun Jung, Jae Woo Choi
SJR Q1Frontiers in EndocrinologyOA

Introduction: Although the risk of coronavirus disease 2019 (COVID-19) infection is higher in patients who are diagnosed with diabetes than in those who are not, research on the risk of cardiovascular disease (CVD) in COVID-19 infected patients diagnosed with diabetes compared to those who are not infected by COVID-19 is lacking. This study aimed to examine the association between COVID-19, incidence of CVD, and all-cause mortality in patients with diabetes. Methods: This study used data from th

Infectious DiseasesMedicine
5
Article|6 citations·2019
중학생들의 목표인식과 수학학업성취도 관계에 대한 수학수업요인의 종단매개효과
정희선
수학교육

This study examines the longitudinal effect of goal perception, mathematics class factors(perceptions about mathematics teachers (PMT), mathematics classroom attitude), and mathematics academic achievement. This study consists of three research models. First, we examined the longitudinal change of goal perception, perceptions about mathematics teachers (PMT), mathematics classroom attitude, and mathematics academic achievement using latent growth curve modeling. Secondly, the slope of PMT is a c

6
Article|4 citations·2013
Degree of Approximation by Hybrid Operators
Naokant Deo, Hee Sun Jung, Ryozi Sakai
SJR Q4Abstract and Applied AnalysisOA

We consider hybrid (Szász-beta) operators, which are a general sequence of integral type operators including beta function, and we give the degree of approximation by these Szász-beta-Durrmeyer operators.

Statistics and ProbabilityMathematics
7
Article|3 citations·2012
Mean and uniform convergence of Lagrange interpolation with the Erdős-type weights
Hee Sun Jung, Ryozi Sakai
SJR Q2Journal of Inequalities and ApplicationsOA

Let R = (-, ), and let Q C 1 (R) : R R + := [0, ) be an even function. We consider the exponential-type weights w(x) = e -Q(x) , x R. In this paper, we obtain a mean and uniform convergence theorem for the Lagrange interpolation polynomials L n (f ) in L p , 1 < p with the weight w.

Applied MathematicsMathematics
8
Article|3 citations·2015
Higher order derivatives of approximation polynomials on R R
Hee Sun Jung, Ryozi Sakai
SJR Q2Journal of Inequalities and ApplicationsOA

Leviatan has investigated the behavior of higher order derivatives of approximation polynomials of a differentiable function f on $[-1,1]$ . Especially, when $P_{n}$ is the best approximation of f, he estimates the differences $\|f^{(k)}-P_{n}^{(k)}\|_{L_{\infty}([-1,1])}$ , $k=0,1,2,\ldots $ . In this paper, we give the analogies for them with respect to the differentiable functions on $\mathbb{R}$ .

Statistics and ProbabilityMathematics
9
Article|2 citations·2012
Approximation by Lupas‐Type Operators and Szász‐Mirakyan‐Type Operators
Hee Sun Jung, Ryozi Sakai
SJR Q3Journal of Applied MathematicsOA

Lupas‐type operators and Szász‐Mirakyan‐type operators are the modifications of Bernstein polynomials to infinite intervals. In this paper, we investigate the convergence of Lupas‐type operators and Szász‐Mirakyan‐type operators on [0, ∞ ).

Statistics and ProbabilityMathematics
10
Article|2 citations·2011
On the Favard-Type Theorem and the Jackson-Type Theorem (II)
Hee Sun Jung, Ryozi Sakai, Noriaki Suzuki
ISRN Applied MathematicsOA

Let , and let be an even function. We consider the exponential weights , . In this paper we investigate the relations between the Favard-type inequality and the Jackson-type inequality. We also discuss the equivalence of two K -functionals and the modulus of smoothness.

Applied MathematicsMathematics
11
Article|2 citations·2012
Convergence and Divergence of Higher-Order Hermite or Hermite-Fejér Interpolation Polynomials with Exponential-Type Weights
Hee Sun Jung, Gou Nakamura, Ryozi Sakai, Noriaki Suzuki
ISRN Mathematical AnalysisOA

Let and let , where and is an even function. Then we can construct the orthonormal polynomials of degree for . In this paper for an even integer we investigate the convergence theorems with respect to the higher-order Hermite and Hermite-Fejér interpolation polynomials and related approximation process based at the zeros of . Moreover, for an odd integer , we give a certain divergence theorem with respect to the higher-order Hermite-Fejér interpolation polynomials based at the zeros of .

Applied MathematicsMathematics
12
Article|2 citations·2009
Specific examples of exponential weights
정희선, Ryozi Sakai
http://www.mathnet.or.kr/mathnet/thesis_file/14_C08-097.pdf

Let Q∈{C}^2 : R→[0,∞) be an even function. Then we will consider the exponential weights w(x)=exp(-Q(x)) in the weight class from [2]. In the paper, we will give some relations among exponential weights in this class and introduce a new weight subclass. In addition, we will investigate some properties of the typical and specific weights in these weight classes.

13
Article|2 citations·2014
Local saturation of a positive linear convolution operator
Hee Sun Jung, Ryozi Sakai
SJR Q2Journal of Inequalities and ApplicationsOA

Let {H n (t)} be a sequence of non-negative, even, and continuous functions on R. In this paper, we consider a convolution operator

Applied MathematicsMathematics
14
Article|1 citations·2012
Asymptotic Properties of Derivatives of the Stieltjes Polynomials
Hee Sun Jung, Ryozi Sakai
SJR Q3Journal of Applied MathematicsOA

Let and P λ , n ( x ) be the ultraspherical polynomials with respect to w λ ( x ). Then, we denote the Stieltjes polynomials with respect to w λ ( x ) by E λ , n +1 ( x ) satisfying , 0 ≤ m &lt; n + 1, , m = n + 1. In this paper, we investigate asymptotic properties of derivatives of the Stieltjes polynomials E λ , n +1 ( x ) and the product E λ , n +1 ( x ) P λ , n ( x ). Especially, we estimate the even‐order derivative values of E λ , n +1 ( x ) and E λ , n +1 ( x ) P λ , n ( x ) at the zeros

Applied MathematicsMathematics
15
Article|1 citations·2008
HERMITE AND HERMITE-FEJER INTERPOLATION OF HIGHER ORDER AND ASSOCIATED PRODUCT INTEGRATION FOR ERDOS WEIGHTS
정희선

Using the results on the coefficients of Hermite-Fej´er interpolations in [5], we investigate convergence of Hermite and Hermite-Fej´er interpolation of order m, m = 1, 2,... in Lp(0 < p < ∞) and associated product quadrature rules for a class of fast decaying even Erd˝os weights on the real line.

Research Areas

Applied MathematicsStatistics and ProbabilityInfectious DiseasesDemographyInformation SystemsMolecular Biology

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