• 대한수학회보
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• 제53권5호
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• pp.1549-1566
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• 2016

Denote $M_n$ the maximum of n independent and identically distributed variables from the generalized short-tailed symmetric distribution. This paper shows the pointwise convergence rate of the distribution of $M_n$ to exp($\exp(-e^{-x})$) and the supremum-metric-based convergence rate as well.

• Korean Journal of Mathematics
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• 제24권3호
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• pp.545-565
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• 2016

In this paper, we present some general results on the pointwise convergence of the non-convolution type nonlinear singular integral operators in the following form: $$T_{\lambda}(f;x)={\large\int_{\Omega}}K_{\lambda}(t,x,f(t))dt,\;x{\in}{\Psi},\;{\lambda}{\in}{\Lambda}$$, where ${\Psi}$ = and ${\Omega}$ = stand for arbitrary closed, semi-closed or open bounded intervals in ${\mathbb{R}}$ or these set notations denote $\mathbb{R}$, and ${\Lambda}$ is a set of non-negative numbers, to the function $f{\in}L_{p,{\omega}}({\Omega})$, where $L_{p,{\omega}}({\Omega})$ denotes the space of all measurable functions f for which $\|{\frac{f}{\omega}}\|^p$ (1 ${\leq}$ p < ${\infty}$) is integrable on ${\Omega}$, and ${\omega}:{\mathbb{R}}{\rightarrow}\mathbb{R}^+$ is a weight function satisfying some conditions.

• Kyungpook Mathematical Journal
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• 제46권3호
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• pp.337-343
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• 2006

In the present paper we shall prove that on a foundation *-semigroup S with an identity and with a locally bounded Borel measurable weight function ${\omega}$, the pointwise convergence and the uniform convergence of a sequence of ${\omega}$-bounded exponentially convex functions on S which are also continuous at the identity are equivalent.

• East Asian mathematical journal
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• 제16권1호
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• pp.57-60
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• 2000

We study some properties of og-spaces and show some sufficient conditions that a space X satisfy the conclusion of the Grothendieck theorem.

• Korean Journal of Mathematics
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• 제5권1호
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• pp.1-8
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• 1997

In this note, we study on fuzzy uniform convergences of sequences of fuzzy numbers, and sequences of fuzzy functions.

• Kyungpook Mathematical Journal
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• 제43권4호
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• pp.593-604
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• 2003

In this paper we introduce the integral type Lupas-$B{\acute{e}}zier$ operator $\tilde{B}_{n,{\alpha}}$, which is a new approximation operator of probabilistic type. We study the rate of pointwise convergence of the operators $\tilde{B}_{n,{\alpha}}$ for local bounded functions and get an asymptotically estimate by means of some methods and techniques of probability theory.

• Journal of applied mathematics & informatics
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• 제36권1_2호
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• pp.15-28
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• 2018

In this paper, we introduce a Stancu type generalization of genuine LupaŞ-Beta operators of integral type. We establish some moment estimates and the direct results in terms of classical modulus of continuity, Voronovskaja-type asymptotic theorem, weighted approximation, rate of convergence and pointwise estimates using the Lipschitz type maximal function. Lastly, we propose a king type modification of these operators to obtain better estimates.

• 충청수학회지
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• 제12권1호
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• pp.113-118
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• 1999

In this paper, we study the convergence theorem for the AP-integral based on the condition UAP and pointwise boundedness.

• Journal of Applied and Pure Mathematics
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• 제5권5_6호
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• pp.407-414
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• 2023

In this article we continue the study of smooth Picard singular integral operators that started in [2], see there chapters 10-14. This time the foundation of our research is a trigonometric Taylor's formula. We establish the convergence of our operators to the unit operator with rates via Jackson type inequalities engaging the first modulus of continuity. Of interest here is a residual appearing term. Note that our operators are not positive. Our results are pointwise and uniform.

• 디지털융복합연구
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• 제18권5호
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• pp.75-87
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• 2020

본 연구는 국내의 인공지능과 관련된 기사들을 LDA 알고리즘에 기반한 토픽모델링 기법으로 분석하여 인공지능 관련 주요 이슈들을 도출하고 세부적으로 분석함으로써 인공지능 기술이 전(全) 산업 분야와 융합을 통해 창출할 수 있는 새로운 가치를 통찰하고, 인공지능 기술을 지식 경영에 적용할 수 있는 분야를 도출하는데 유용한 정보를 생산하고자 하였다. 본 연구에서는 '인공지능'을 검색어로 하여 추출된 11개의 중앙지와 8개의 경제지, 주요 방송사의 2016년부터 2019년까지 3,889건의 기사를 대상으로 오픈 소프트웨어인 R을 활용한 토픽모델링 기법을 사용하여 토픽 별 키워드들을 추출하였다. 각 토픽의 키워드 간 연관성을 나타내는 PMI(Pointwise Mutual Information) 측도를 높이도록 relevance 파라미터 λ를 최적화하여 토픽 별 키워드를 추출하였으며, 키워드들로부터 타당한 근거를 바탕으로 토픽명을 추론하였다. 추출된 토픽들은 인공지능 기술의 응용 분야와 사회, 경제, 산업, 문화 전반에서 일어나고 있는 변화 및 정부의 지원 정책과 비전을 폭 넓게 나타냈다.