• Kyungpook Mathematical Journal
• /
• 제48권4호
• /
• pp.613-622
• /
• 2008

In this article we introduce some difference sequence spaces defined by Orlicz function and study different properties of these spaces like completeness, solidity, symmetricity etc. We establish some inclusion results among them.

• 대한수학회논문집
• /
• 제25권2호
• /
• pp.193-206
• /
• 2010

In this paper we define and study the difference Orlicz space of entire sequence of fuzzy numbers. We study their different properties and statistical convergence in these spaces.

• Kyungpook Mathematical Journal
• /
• 제50권3호
• /
• pp.389-397
• /
• 2010

In this paper we introduce the new generalized difference sequence space $\ell_\infty$($\Delta_v^n$, M,p,q,s), $\bar{c}$($\Delta_v^n$,M,p,q,s), $\bar{c_0}$($\Delta_v^n$,M,p,q,s), m($\Delta_v^n$,M,p,q,s) and $m_0$($\Delta_v^n$,M,p,q,s) defined over a seminormed sequence space (X,q). We study some of it properties, like completeness, solidity, symmetricity etc. We obtain some relations between these spaces as well as prove some inclusion result.

• 대한수학회논문집
• /
• 제21권2호
• /
• pp.261-272
• /
• 2006

In this paper, we define the sequence spaces: $[V,{\lambda},f,p]_0({\Delta}^r,E,u),\;[V,{\lambda},f,p]_1({\Delta}^r,E,u),\;[V,{\lambda},f,p]_{\infty}({\Delta}^r,E,u),\;S_{\lambda}({\Delta}^r,E,u),\;and\;S_{{\lambda}0}({\Delta}^r,E,u)$, where E is any Banach space, and u = ($u_k$) be any sequence such that $u_k\;{\neq}\;0$ for any k , examine them and give various properties and inclusion relations on these spaces. We also show that the space $S_{\lambda}({\Delta}^r, E, u)$ may be represented as a $[V,{\lambda}, f, p]_1({\Delta}^r, E, u)$ space. These are generalizations of those defined and studied by M. Et., Y. Altin and H. Altinok [7].

• 호남수학학술지
• /
• 제43권1호
• /
• pp.47-58
• /
• 2021

In this paper, we introduce rough statistical convergence of difference double sequences in normed linear spaces as an extension of rough convergence. We define the set of rough statistical limit points of a difference double sequence and analyze the results with proofs.

• 호남수학학술지
• /
• 제41권4호
• /
• pp.725-744
• /
• 2019

In this paper we introduce some new types of double difference sequence spaces defined by a new definition of convergence of double sequences and a double series with the help of sequence of Orlicz functions and a four dimensional bounded regular matrices A = (a_rtkl). We also make an effort to study some topological properties and inclusion relations between these sequence spaces. Finally, we compute the closed ideals in the space 𝑙²_∞.

• Kyungpook Mathematical Journal
• /
• 제55권2호
• /
• pp.355-372
• /
• 2015

In the present paper, by using the Fibonacci difference matrix, we introduce the almost convergent sequence space $\hat{c}^f$. Also, we show that the spaces $\hat{c}^f$and $\hat{c}$ are linearly isomorphic. Further, we determine the ${\beta}$-dual of the space $\hat{c}^f$ and characterize some matrix classses on this space. Finally, Fibonacci core of a complex-valued sequence has been introduced, and we prove some inclusion theorems related to this new type of core.

• Kyungpook Mathematical Journal
• /
• 제58권2호
• /
• pp.271-289
• /
• 2018

Let 0 < q < ${\infty}$. In this study, we introduce the spaces ${\mathcal{BV}}_q$ and ${\mathcal{LS}}_q$ of q-bounded variation double sequences and q-summable double series as the domain of four-dimensional backward difference matrix ${\Delta}$ and summation matrix S in the space ${\mathcal{L}}_q$ of absolutely q-summable double sequences, respectively. Also, we determine their ${\alpha}$- and ${\beta}-duals$ and give the characterizations of some classes of four-dimensional matrix transformations in the case 0 < q ${\leq}$ 1.

• 대한수학회지
• /
• 제39권6호
• /
• pp.963-973
• /
• 2002

We study torsion phenomena in the integral cohomology of finite if-spaces X through the Eilenberg-Moore spectral sequence converging to H＊($\Omega$X; Z$_{p}$). We also investigate how the difference between the Z$_{p}$-filtration length f$_{p}$(X) and the Z$_{p}$-cup length c$_{p}$(X) on a simply connected finite H-space X is reflected in the Eilenberg-Moore spectral sequence converging to H＊($\Omega$X;Z$_{p}$). Finally we get the following result: Let p be an odd prime and X an n-connected finite H-space with dim QH＊ (X;Z$_{p}$) $\leq$ m. Then H＊(X;Z) is p-torsion free if (equation omitted).tion omitted).

• 한국주거학회논문집
• /
• 제13권3호
• /
• pp.61-69
• /
• 2002

This research is to analyze the spatial organization of a traditional rural community and its characteristics, the case of Hanbam village located in the north of Daegu city. The conclusions of this study are as follows; 1. The difference between private space and public space in the residential area of Hanbam village is obvious, and these two spaces are organically related each other by means of road. These spaces have some spatial characteristics of organization, such as center, hierarchy and sequence. 2. The private space consists of a residence module and a farming area in the settlement, and it is clearly farmed by the firm fence of rocks and by surrounding roads. Fruit-bearing trees such as Pyrus pyrifolia, Cornus officinalis, Diospyros kaki, Juglans sinensis are planted at the boundary. And most of residences are composed of a building, a inner court and farming fields. 3. The public space for the community mainly functions as ‘a meeting place’for residents, and consists of recreational spaces, ceremonial spaces, community facilities, and social facilities. Among these, Jeong-ja(pavilion), Seong-an Soop(forest) and Dae-chong(building for common use) are of great cultural value as important traditional spaces. 4. Two kinds of road are commonly fecund in the village; spontaneously generated one and planned one. This is straight inner streets and access paths to the village, and that is curvilinear alleys which are connected to Dae-chong, the core of village. Also stone walls and climbing plants on them are major elements of village landscape.