Hee-sun Jeong
Sungkyunkwan University · 数学
研究室紹介
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.
Research Overview
Research Output Trend
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Selected Papers
15본 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.
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
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
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.
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.
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 $\mathbb{R}$ .
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, ∞ ).
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.
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 .
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.
Let {H n (t)} be a sequence of non-negative, even, and continuous functions on R. In this paper, we consider a convolution operator
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 < 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
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.