On the Space bvp（F） of Sequences of p-bounded Variation of Fuzzy Numbers

Recently, the space bvp of real or complex numbers consisting of all sequences whose differences are in the space lp has been studied by Basar, Altay [Ukrainian Math. J. 55（1）（2003）, 136-147], where 1 ≤ p ≤ ∞. The main purpose of the present paper is to introduce the space bvp（F） of sequences of p-bounded variation of fuzzy numbers. Moreover, it is proved that the space bvp（F） includes the space lp（F） and also shown that the spaces bvp（F） and lp（F） axe isomorphic for 1 ≤ p ≤∞. Furthermore, some inclusion relations have been given.  

ON DIRICHLET TYPE SPACES AND α-BLOCH SPACES IN THE UNIT BALL OF Cn

In this paper, the authors study the inclusion relations between Dirichlet type spaces DT and α-Bloch spacesβα by means of higher radial derivative. The strictness and the best possibility of the inclusion relations are shown with constructive methods.Furthermore, they sharpen one of the results when T = n, which proves that a conjecture in [7] is true.  

偶特征正交空间中子空间包含关系的条件及矩阵表示

本文研究了特征为2的有限域上正交空间中子空间的包含关系和子空间的矩阵表示,利用了偶特征正交几何的理论,得到了偶特征正交空间中子空间的包含条件和矩阵表示.  

On inclusion theorems for absolute matrix summability methods, corrections: [J. Math. Anal. Appl. 238 (1999) 82-90]

We modify some of the conditions of the theorem to make it more applicable.  

C^n单位球上Q_p空间的点态乘子

该文研究了C^n单位球上Q_p空间的点态乘子空间M(Q_p),分别给出了M(Q_p)与α Bloch 空间及Dirichlet型空间之间严格精确的包含关系.并相应地讨论了单位球上Q_{p,0}空间的点态乘子.  

关于Orlicz序列空间的包含关系

设Φ，Ψ为一对互余的Ｎ－函数，本文给出了包含关系成立的充要条件，并修正Ｃｈｅｎ［１，ｐ，１６８］的一个例子.  

Learners’ level of understanding of the inclusion relations of quadrilaterals and prototype phenomenon

This paper reports on data from investigations on learners’ understanding of inclusion relations of quadrilaterals, building on the ideas from our earlier study (Fujita & Jones, 2007). By synthesising past and current theories in the teaching of geometry (van Hiele's model, figural concepts, prototype phenomenon, etc.), we propose a theoretical model and method to describe learners’ cognitive development of their understanding of inclusion relations of quadrilaterals, and in order to investigate the topic, data are collected from trainee teachers and lower secondary school students. The findings suggest that in general more than half of above average learners are likely to recognise quadrilaterals primarily by prototypical examples, even though they know the correct definition, and this causes them difficulty in understanding the inclusion relations of quadrilaterals.  

Properties for uniformly starlike and related functions under the Srivastava-Attiya operator

In the present paper, we introduce and investigate classes of analytic functions involving the Srivastava-Attiya operator. Basic properties for β-uniformly starlike functions of order γ are studied, such as inclusion relations, sufficient conditions, coefficient inequalities and distortion inequalities. The results are also extended to β-uniformly convex, close-to-convex, and quasi-convex functions. Relevant connections of the results presented here with those obtained in earlier works are also pointed out.  

某一类解析函数的性质和特征

本文研究了在单位圆内的解析函数类M_n(α,β).利用解析函数的性质和不等式技巧进行讨论,得到了这类函数的包含关系、系数估计等性质以及这类函数的一个充分条件.  

On classes of analytic functions related to conic domains

We introduce classes of analytic functions related to conic domains, using a new linear multiplier fractional differential operator (n∈N₀={0,1,…}, 0?α<1, λ?0), which is defined as

D⁰f(z)=f(z),