共查询到20条相似文献,搜索用时 15 毫秒
1.
B. Al-Nashef 《Acta Mathematica Hungarica》2002,97(1-2):115-120
The following two decomposition theorems are obtained. (1) A function f is α-continuous if and only if f is pre-continuous and αα-continuous, (2) A function f is semi-continuous if and only if f is spr-continuous and αLC-continuous.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
2.
Summary The main purpose of this paper is to introduce the concepts of η-sets, ηζ-sets,η-continuity and ηζ-continuity and to obtain
a decomposition of continuity. 相似文献
3.
J. Borsík 《Acta Mathematica Hungarica》2007,115(4):319-332
Let X be a topological space and (Y,d) be a metric space. If f: X → Y is a function then there is a function a
f
: X → [0, ∞] such that f is almost continuous at x if and only if a
f
(x) = 0. Some properties of this function are investigated.
Supported by grant VEGA 2/6087/26 and APVT-51-006904. 相似文献
4.
We characterize δ-I-sets, discuss the relation between δ-sets, δ-I-sets and I
δ-sets and generalize some of the results. 相似文献
5.
The aim of this paper is to give a decomposition of a weaker form of continuity, namely gα**-continuity by providing the concepts of K-sets and K-continuity.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
6.
We introduce and investigate R-M-continuous functions defined between sets satisfying some minimal conditions. The functions enable us to formulate a unified
theory of modifications of R-continuity [22]: R-irresoluteness [6], R-preirresoluteness [7].
相似文献
7.
We have introduced α-I-open, semi-I-open and β-I-open sets via idealization and using these sets obtained new decompositions
of continuity.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
8.
In this study, we obtain a local approximation theorems for a certain family of positive linear operators via I—convergence by using the first and the second modulus of continuities and the elements of Lipschitz class functions. We also
give an example to show that the classical Korovkin Theory does not work but the theory works in I—convergence sense.
相似文献
9.
M. V. Ladoshkin 《Mathematical Notes》2006,79(5-6):664-674
For each left graded module M over a graded algebra A, a Hochschild cochain complex S*(A, M) whose homology is responsible for the existence of nontrivial structures of A ∞-modules over A ∞-algebras on the given module is constructed. 相似文献
10.
We introduce new classes of sets called Λ
g
-closed sets and Λ
g
-open sets in topological spaces. We also investigate several properties of such sets. It turns out that Λ
g
-closed sets and Λ
g
-open sets are weaker forms of closed sets and open sets, respectively and stronger forms of g-closed sets and g-open sets, respectively.
Dedicated to Professor Maximilian Ganster on the occasion of his 50th birthday 相似文献
11.
V. A. Smirnov 《Mathematical Notes》1999,66(6):754-759
The notion ofA
∞-topological group is introduced. It is proved that, if a space
is obtained by deformation retraction of a topological groupG, then it has the structure of anA
∞-topological group, and theA
∞-homotopy equivalence
holds.
Translated fromMatematicheskie Zametki, Vol. 66, No. 6, pp. 913–919, December, 1999. 相似文献
12.
In this paper, the matrix of equidiagonal-dominance is defined and several theorems about ‖A
−1‖∞ and its evaluation are established. Many interesting numerical examples are given.
This work is supported by the National Natural Science Foundation of China and the Science Foundation of Academy of Engineering
Physics of China 相似文献
13.
In [1], Aç?kgöz et al. introduced and investigated the notions of w-I-continuous and w*-I-continuous functions in ideal topological spaces. In this paper, we investigate their relationships with continuous and θ-continuous functions. 相似文献
14.
15.
Zbigniew Duszyński 《Rendiconti del Circolo Matematico di Palermo》2008,57(2):213-228
Optimal mappings and optimally irresolute mappings are introduced. Fundamental properties of them are obtained. Preservation
of well-known separation axioms (semi-ℐ2, ℐ2, semi-normality, normality, s-regularity, regularity) under such types of mappings (with some additional conditions) is studied.
相似文献
16.
Erdal Ekici 《Periodica Mathematica Hungarica》2007,54(1):77-84
The purpose of this paper is to introduce properties of the notion of α-compactness for fuzzy topological spaces. Moreover, α
c-compact spaces are introduced and properties of them are also discussed for fuzzy topological spaces.
相似文献
17.
In this paper we give a first attempt to define and study stable distributions with respect to the weak generalized convolution,
focusing our attention on the symmetric weakly stable distribution. As in the case of the classical convolution, characterization
of distributions stable in the sense of weak generalized convolution depends on solving some functional equations in the class
of characteristic functions.
This paper was partially written while the second author was a visiting professor of Delft Institute of Applied Mathematics,
Delft University of Technology, Holland. 相似文献
18.
Ekrem Savas 《Applied Mathematics Letters》2012,25(4):733-738
Following the line of recent works of Das et al. (2011) [15] and Savas and Das (2011) [19] we apply the notion of ideals to strong matrix summability, and in this note, we introduce the notion of strong AI-summability with respect to an Orlicz function. We make certain investigations on the classes of sequences arising out of this new summability method. 相似文献
19.
P. Danchev 《Lithuanian Mathematical Journal》2009,49(2):158-161
We prove that a special α-elongation of a totally projective group is an α-Σ-group if and only if it is a totally projective group. This parallels our recent result in [5]. 相似文献
20.
Alejandro Balbás José Garrido Silvia Mayoral 《Methodology and Computing in Applied Probability》2009,11(3):385-399
The current literature does not reach a consensus on which risk measures should be used in practice. Our objective is to give
at least a partial solution to this problem. We study properties that a risk measure must satisfy to avoid inadequate portfolio
selections. The properties that we propose for risk measures can help avoid the problems observed with popular measures, like
Value at Risk (VaR
α
) or Conditional VaR
α
(CVaR
α
). This leads to the definition of two new families: complete and adapted risk measures. Our focus is on risk measures generated by distortion functions. Two new properties are put forward for these:
completeness, ensuring that the distortion risk measure uses all the information of the loss distribution, and adaptability,
forcing the measure to use this information adequately.
This research was partially funded by
1,3
Welzia Management, SGIIC SA, RD Sistemas SA, Comunidad Autónoma de Madrid Grant s-0505/tic/000230, and MEyC Grant BEC2000-1388-C04-03 and by
2
the Natural Sciences and Engineering Research Council of Canada (NSERC) Grant 36860-06. 相似文献