• 호남수학학술지
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• 제42권2호
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• pp.251-268
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• 2020

In this paper, we estimate the degree of approximation by means of the complete modulus of continuity, the partial modulus of continuity, the Lipschitz-type class and Petree's K-functional for the bivariate Szász-Kantorovich operators based on Brenke-type polynomials. Later, we construct Generalized Boolean Sum operators associated with combinations of the Szász-Kantorovich operators based on Brenke-type polynomials. In addition, we obtain the rate of convergence for the GBS operators with the help of the mixed modulus of continuity and the Lipschitz class of the Bögel continuous functions.

• 한국재난정보학회 논문집
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• 제20권2호
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• pp.245-256
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• 2024

연구목적: 민간영역에서 필수적인 핵심기능의 연속성을 확보하여 국민 일상의 안정성을 확보한다. 연구방법: 국가핵심기반의 관리대상을 기반으로 국민생활과 직결되는 분야의 민간영역을 선정하고, 기능연속성계획 수립 의무대상 수립 기준을 제시하였다. 또한, 민간기업의 실태파악 및 의견수렴을 통해 선정기준에 대한 실효성을 확보하였다. 연구결과: 민간분야에서 법률 상 의무대상으로 미지정된 5개 분야에서 기능연속성계획 수립범위를 설정하고, 이를 기반으로 기준을 제시하였다. 결론: 재난 상황에서 국민 생활과 직결되는 민간분야의 기능연속성을 확보하여 국민의 일상생활을 유지하고 사회적 안전망을 구축할 수 있다.

• 디지털산업정보학회논문지
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• 제19권3호
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• pp.137-148
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• 2023

This study verified the mediating effect of perceived value and the influence of kiosk device characteristics on relationship continuity intention to solve the difficult problems of hotel companies due to the development of current technology and hotel recruitment problems. Two hundred thirty-nine consumers who used kiosk devices in hotels were analyzed using SPSS 23.0 and Smart PLS 4.0. As a result of analysis and verification, it was found that the kiosk characteristics (playfulness, convenience, reliability, usefulness) had a significant effect on all perceived values (emotional value, functional value), and the perceived value also had a significant effect on the relationship continuity intention. Appeared as a result of the influence. However, it was found that the mediating effect of functional value in the relationship between convenience and usefulness among kiosk characteristics was dismissed. These results support the previous studies on hotel kiosks and have academic implications, as well as practical implications for practitioners of hotel companies.

• Kyungpook Mathematical Journal
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• 제49권4호
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• pp.691-700
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• 2009

We use the fixed alternative theorem to establish Hyers-Ulam-Rassias stability of the quadratic functional equation where functions map a linear space into a complete quasi p-normed space. Moreover, we will show that the continuity behavior of an approximately quadratic mapping, which is controlled by a suitable continuous function, implies the continuity of a unique quadratic function, which is a good approximation to the mapping. We also give a few applications of our results in some special cases.

• Kyungpook Mathematical Journal
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• 제62권3호
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• pp.467-484
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• 2022

In this work, we define bivariate Bernstein-Kantorovich type operators on a triangular domain and obtain some approximation results for these operators. We start off by computing some moment estimates and prove a Korovkin type convergence theorem. Then, we estimate the rate of convergence using the partial and complete modulus of continuity, and derive a Voronovskaya-type asymptotic theorem. Further, we calculate the order of approximation with regard to the Peetre's K-functional and a Lipschitz type class. In addition, we construct the associated GBS type operators and compute the rate of approximation using the mixed modulus of continuity and class of the Lipschitz of Bögel continuous functions for these operators. Finally, we use the two operators to approximate example functions in order to compare their convergence.

• Journal of applied mathematics & informatics
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• 제31권3_4호
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• pp.491-498
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• 2013

This note is concerned with the uniform $L^p$-continuity of solution for the stochastic differential equations under Lipschitz condition and linear growth condition. Furthermore, uniform $L^p$-continuity of the solution for the stochastic functional differential equation is given.

• International Journal of Contents
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• 제8권1호
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• pp.47-54
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• 2012

The dynamic adaptation between various service environments using the application profiles for the service continuity is a key issue of the profile-based service continuity framework (PSCF) for N-screen service using next generation networks. PSCF offers an optimized service framework for providing continuous user services, which are multimedia video streaming, educational broadcasting, game, etc., using the various devices that are not restricted by the service environment of the user. This paper specifies the functional model of PSCF, service scenario and explains the experimental results of the service continuity for N-screen service using PSCF.

• 대한수학회보
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• 제53권3호
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• pp.641-649
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• 2016

A linear functional T on a $Fr{\acute{e}}echet$ algebra (A, (pn)) is called almost multiplicative with respect to the sequence ($p_n$), if there exists ${\varepsilon}{\geq}0$ such that ${\mid}Tab-TaTb{\mid}{\leq}{\varepsilon}p_n(a)p_n(b)$ for all $n{\in}\mathbb{N}$ and for every $a,b{\in}A$. We show that an almost multiplicative linear functional on a $Fr{\acute{e}}echet$ algebra is either multiplicative or it is continuous, and hence every almost multiplicative linear functional on a functionally continuous $Fr{\acute{e}}echet$ algebra is continuous.

• 디지털융복합연구
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• 제16권11호
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• pp.495-500
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• 2018

본 연구는 멀티 디바이스 환경에서 사용자 경험의 연속성을 높일 수 있는 요인들에 대해 알아보았다. 우선 구조적 차이와 태스크의 연속성에 관해서는 크로스 미디어의 특성에 따른 OS의 차이와 마우스의 사용과 터치 제스처라는 기능적인 차이가 연속성을 방해하는 요소로 나타났으며 연속성을 높이기 위해서는 메타포와 어포던스로 시각 단서를 제공해 상관성과 가시성을 높여주어야 한다. 시각 기억과 인지의 연속성 부분에서는 시지각적 요소의 동일성과 유사성으로 익숙함을 부여하여 친숙성의 요인이 연속성과 밀접한 관련이 있음을 알 수 있었다. 마지막으로 사용자 경험의 연속성을 위해서는 시지각적 요소는 물론 정보의 의미와 배치의 일관성이 사용자 경험의 연속성을 위한 요인이 되는 것을 알 수 있었다. 이를 바탕으로 사용자 경험의 연속성 차원의 친숙성, 일관성, 상관성, 가시성의 요인으로 회귀 분석을 실시한 결과 친숙성, 일관성, 상관성은 유의미한 영향 요인인 반면 가시성은 연속성에 큰 영향을 미치지 않음을 알 수 있었다.

• 대한수학회논문집
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• 제20권3호
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• pp.505-509
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• 2005

We show that every $\varepsilon-approximate$ Jordan functional on a Banach algebra A is continuous. From this result we obtain that every $\varepsilon-approximate$ Jordan mapping from A into a continuous function space C(S) is continuous and it's norm less than or equal $1+\varepsilon$ where S is a compact Hausdorff space. This is a generalization of Jarosz's result [3, Proposition 5.5].