• Honam Mathematical Journal
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• v.42 no.2
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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.

• Journal of the Society of Disaster Information
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• v.20 no.2
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• pp.245-256
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• 2024

Purpose: Securing the continuity of essential functions in the private sector and ensuring the stability of people's daily lives. Method: Based on the national core-based management targets, private sectors in areas directly related to people's lives are selected. Presents standards for establishing functional continuity plan obligations. Result: Establishing the scope of establishing a functional continuity plan in five areas that have not been designated as mandatory in the private sector and presenting standards based on this. Conclusion: In disaster situations, functional continuity of the private sector, which is directly related to people's lives, can be secured to maintain people's daily lives and establish a social safety net.

• Journal of Korea Society of Digital Industry and Information Management
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• v.19 no.3
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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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• v.49 no.4
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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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• v.62 no.3
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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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• v.31 no.3_4
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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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• v.8 no.1
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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.

• Bulletin of the Korean Mathematical Society
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• v.53 no.3
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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.

• Journal of Digital Convergence
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• v.16 no.11
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• pp.495-500
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• 2018

This study examined the factors that can enhance the continuity of user experience in multi - device environment. First of all, regarding the structural difference and continuity of tasks, functional differences such as OS difference according to the characteristics of cross media, use of mouse and touch gesture were found to interfere with continuity. To increase continuity, metaphor and ambience To increase relevance and visibility. In the continuity part of visual memory and cognition, familiarity was given by the identity and similarity of visual perception elements, and it was found that familiarity factors are closely related to continuity. Finally, for the continuity of the user experience, we can see that the visibility factors as well as the meaning and layout consistency of the information are factors for the continuity of the user experience. Based on this, it was found that familiarity, consistency, and correlation were significant influences on continuity dimension of user experience, but visibility did not have a significant effect on continuity when regression analysis was conducted as factors of familiarity, consistency, correlation and visibility.

• Communications of the Korean Mathematical Society
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• v.20 no.3
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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].