• Korean Journal of Mathematics
• /
• v.27 no.3
• /
• pp.581-594
• /
• 2019

In this study a new generalization for operators of two parameters type of fractional in the unit disk is proposed. The fractional operators in this generalization are in the Srivastava-Owa sense. Concerning with the related applications, the generalized Gauss hypergeometric function is introduced. Further, some boundedness properties on Bloch space are also discussed.

• Communications of the Korean Mathematical Society
• /
• v.37 no.2
• /
• pp.537-549
• /
• 2022

In this paper, we consider a convex univalent function f_α,β which maps the open unit disc 𝕌 onto the vertical strip domain Ω_α,β = {w ∈ ℂ : α < ℜ < (w) < β} and introduce new subclasses of both close-to-convex and bi-close-to-convex functions with respect to an odd starlike function associated with Ω_α,β. Also, we investigate the Fekete-Szegö type coefficient bounds for functions belonging to these classes.

• Journal of the Korean Institute of Intelligent Systems
• /
• v.11 no.9
• /
• pp.817-821
• /
• 2001

In this paper, a new learning methodology for kernel methods that results in a sparse representation of kernel space from the training patterns for classification problems is suggested. Among the traditional algorithms of linear discriminant function, this paper shows that the relaxation procedure can obtain the maximum margin separating hyperplane of linearly separable pattern classification problem as SVM(Support Vector Machine) classifier does. The original relaxation method gives only the necessary condition of SV patterns. We suggest the sufficient condition to identify the SV patterns in the learning epoches. For sequential learning of kernel methods, extended SVM and kernel discriminant function are defined. Systematic derivation of learning algorithm is introduced. Experiment results show the new methods have the higher or equivalent performance compared to the conventional approach.

• Journal of Electrical Engineering and Technology
• /
• v.9 no.6
• /
• pp.2098-2106
• /
• 2014

In the area of clustering, there are numerous approaches to construct clusters in the input space. For regression problem, when forming clusters being a part of the overall model, the relationships between the input space and the output space are essential and have to be taken into consideration. Conditional Fuzzy C-Means (c-FCM) clustering offers an opportunity to analyze the structure in the input space with the mechanism of supervision implied by the distribution of data present in the output space. However, like other clustering methods, c-FCM focuses on the distribution of the data. In this paper, we introduce a new method, which by making use of the ambiguity index focuses on the boundaries of the clusters whose determination is essential to the quality of the ensuing classification procedures. The introduced design is illustrated with the aid of numeric examples that provide a detailed insight into the performance of the fuzzy classifiers and quantify several essentials design aspects.

• Korean Journal of Mathematics
• /
• v.28 no.2
• /
• pp.361-378
• /
• 2020

The most apparent aspect of the present study is to introduce a new sequence space 𝚽^⋆(𝓛_p) derived by double Euler-Totient matrix operator. We examine its topological and algebraic properties and give an inclusion relation. In addition to those, the α-, β(bp)- and γ-duals of the space 𝚽^⋆(𝓛_p) are determined and finally, some 4-dimensional matrix mapping classes related to this space are characterized.

• Journal of the Korean Mathematical Society
• /
• v.45 no.2
• /
• pp.455-466
• /
• 2008

Current studies on products of analytic functionals have been based on applying convolution products in D' and the Fourier exchange formula. There are very few results directly computed from the ultradistribution space Z'. The goal of this paper is to introduce a definition for the product of analytic functionals and construct a new multiplier space $F(N_m)$ for $\delta^{(m)}(s)$ in a one or multiple dimension space, where Nm may contain functions without compact support. Several examples of the products are presented using the Cauchy integral formula and the multiplier space, including the fractional derivative of the delta function $\delta^{(\alpha)}(s)$ for $\alpha>0$.

• Journal of the Korean Institute of Educational Facilities
• /
• v.24 no.1
• /
• pp.3-10
• /
• 2017

This study is to analyze the remodeling method of library in terms of space extension method and urban regeneration by repurposing function in unused facilities through case study. In many case of library extension, horizontal extensions are more frequent than vertical extensions, because there are limits to extend vertically due to high live load estimation by book stacks. Extension schemes was organized by new building extension method in connection with existing buildings, attaching method small scaled mass or linear mass to existing building, connecting method a plurality of existing small buildings, vertical extension method on the top of the structure, underground extension method using special structure. Unused facility remodeling to the library, large scaled buildings can be developed completely to the function of the library through the relocation of the space, while small scaled building needs spatial extension. In the case of spatial extension, existing space that was used for other purposes can be used as a reading room or office, avoiding high live load estimation.

• Journal of the Korean Mathematical Society
• /
• v.37 no.2
• /
• pp.139-175
• /
• 2000

We consider the boundary behavior of a Hardy class holomorphic function, either on the disk D in the complex plane or on a domain in multi-dimensional complex space. Although the two theories are formally different, we postulate some unifying fearures, and we suggest some future directions for research.

• Journal of the Korean Regional Science Association
• /
• v.12 no.2
• /
• pp.99-116
• /
• 1996

This study investigates the nature and patterns of interrelation between the emerging information and communication technology(ICT) and the organization of corporate space, both theoretically and empirically. In this work, ICT is conceptualized not so much a space-adjusting technology as an organizational technology. ICT is considered as a governance technology which is related to coordination function within a firm. Therefore, it is supposed to have a great relevance to the spatial reorganization of functions within a firm. Both questionnaire and case study method are used to gather necessary data from Korean electronics manufactures. The results of this study can be summarized as follow. First, the spatial structure of a firm, which is operationalised as the number and type of spatially separated establishments, is turned out to have a great explanatory power to its adoption of computer networks. Computer networks in muli-locational companies are introduced to overcome the limits of its spatial structure, such as duplication of functions, such as duplication of functions, loss of time spent in proceeding a job between different functional units, and unresponsiveness to the change of market demand. Second, new spatial division of labor and function could be possible through a series of business process reengineering, not through the mere adoption of ICT. Case studies reveal that computer network could help a firm to realize new forms of spatial division of labor, especially in those functions which is mainly based on the flow of information. Such function as ICT management, sales logistics and after-sales service are major parts where a new operational unit has appeared with the help of ICT. From above results, it can be concluded that the interrelations between ICT and organizational space should be approached intimately integrated with the change of industrial structure and it's organizational implications.

• Journal of applied mathematics & informatics
• /
• v.27 no.3_4
• /
• pp.773-778
• /
• 2009

Recently, Xue et al. [Computers and Mathematics with Applications 55 (2008) 1215-1224] proposed a formula for the expected value of a function of a fuzzy variable based on the assumption that the fuzzy variable has a continuous membership function. In conclusion, they remained the case where the membership function of the fuzzy variable is discontinuous for the future research, and then expected to get similar results. Thus this note is to propose a new formula for the expected value of a function of a general fuzzy variable which is not restricted on having a continuous membership function. Furthermore, we give an example which cannot be applied to the formula that Xue et al. proposed. We also use the same example given by Xue et al. to show how to apply the new formula.