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| 1 | SOME EULER SPACES OF DIFFERENCE SEQUENCES OF ORDER m显示文摘Kizmaz [13 ] 学习了差别顺序空格 ? ∞(Δ) , c (Δ) ,和 c0 (Δ) 。几篇文章处理了哪个被围住的 m-th 顺序差别的序列的集合,对零会聚,或会聚。Altay 和 Ba ? ar [5 ] 并且 Altay, Ba ? ar,和 Mursaleen [7 ] 介绍了 Euler 顺序空格 e (r) 0, e (r) c,和 e (r) ∞分别地。这篇文章的主要目的是介绍空格 e (r) 0 (Δ( m )), e (r) c (Δ( m )),并且 e (r)∞(Δ( m ))由其 m ( th )命令差别在 Euler 空格的所有序列组成 e (r) 0 , e (r) c ,和 e (r)∞分别地。而且,作者给一些拓扑的性质和包括关系,并且决定空格 e (r)的α-,β-,和γ- duals 0 (Δ( m )), e (r) c (Δ( m )),并且 e (r)∞(Δ( m )),并且空格 e (r)的 Schauder 基础 0 (Δ( m )), e (r) c (Δ( m ))。文章的最后节在顺序空间 e (r) c (Δ(m ) 上被奉献给一些矩阵地图砰的描述) 。给词调音:顺序 m 的差别顺序空格;Schauder 基础;α - ,β - ,和γ - duals; | Harun Polat Feyzi Basar | 2007 | Acta Mathematica Scientia2007，27，2： | 5 |
| 2 | The Fine Spectra of the Difference Operator △ Over the Sequence Space bv_p,(1≤p<∞)显示文摘由所有序列(x_k ) 组成的顺序空间 bv_p 以便(x_k—x_(k-1 )) 属于空间 e_p 最近被 Basar 和 Altay 介绍了[乌克兰的数学。J. , 55 (1 ) , 136-147 (2003 )] ;在哪儿 1 ≤ p ≤∞。在现在的纸,一些结果有关与连续双、 f 双,并且空间 bv_p 被给了的顺序的广告性质和对顺序空间 bv_p 起作用的差别操作员△的标准被发现了。关于 Goldberg 的好光谱“在顺序空格 bv_p 上的差别操作符△的 s 分类被决定了,在此 1 ≤ p < ∞。 | Ali M.AKHMEDOV Feyzi BASAR | 2007 | Acta Mathematica Sinica,English Series2007，23，10： | 2 |
| 3 | DOMAIN OF THE DOUBLE SEQUENTIAL BAND MATRIX B(r,s) ON SOME MADDOX'S SPACES显示文摘The domain of generalized difference matrix B(r, s) in the classical spaces l∞,c, and c0 was recently studied by Kirisci and Bassar in [16]. The main goal of this article is to introduce the paranormed sequence spaces l∞( B, p), c( B, p), and c0( B, p), which are more general and comprehensive than the corresponding consequences of the matrix domain of B(r, s), as well as other studies in literature. Besides this, the alpha-, beta-, and gamma-duals of the spaces l∞( B, p), c( B, p), and c0( B, p) are computed and the bases of the spaces c( B, p)and c0( B, p) are constructed. The final section of this article is devoted to the characterization of the classes(λ( B, p) :) and( : λ( B, p)), where λ∈ {c, c0, l∞}and is any given sequence space. Additionally, the characterization of some other classes which are related to the space of almost convergent sequences is obtained by means of a given lemma. | Faruk OZGER Feyzi BASAR | 2014 | Acta Mathematica Scientia2014，34，2： | 0 |
| 4 | BANACH SPACES AND INEQUALITIES ASSOCIATED WITH NEW GENERALIZATION OF CESàRO MATRIX显示文摘Let the triangle matrix A^(ru)be a generalization of the Cesàro matrix and U∈{c_(0),c,l_(∞)}.In this study,we essentially deal with the space U(A^(ru))defined by the domain of A^(ru)in the space U and give the bases,and determine the Kothe-Toeplitz,generalized K?theToeplitz and bounded-duals of the space U(A^(ru)).We characterize the classes(l_(∞)(A^(ru)):l_(∞)),(l_(∞)(A^(ru)):c),(c(A^(ru)):c),and(U:V(A^(ru)))of infinite matrices,where V denotes any given sequence space.Additionally,we also present a Steinhaus type theorem.As an another result of this study,we investigate the l_(p)-norm of the matrix A^(ru)and as a result obtaining a generalized version of Hardy's inequality,and some inclusion relations.Moreover,we compute the norm of well-known operators on the matrix domain l_(p)(A^(ru)). | Feyzi BASAR Hadi ROOPAEI | 2023 | Acta Mathematica Scientia2023，43，4： | 0 |
| 5 | Domain of Euler Mean in the Space of Absolutely p-Summable Double Sequences with 0 显示文摘In this study, as the domain of four dimensional Euler mean E(r,s) of orders r,sin the space L_p for 0 < p < 1, we examine the double sequence space ε_p^(r,s) and some properties of four dimensional Euler mean. We determine the α-and β(bp)-duals of the space εp r,s, and characterize the classes(ε_p^(r,s):M_u),(ε_p^(r,s):C_(bp)) and(ε_p^(r,s):L_q) of four dimensional matrix transformations, where 1 ≤q < ∞. Finally, we shortly emphasize on the Euler spaces of single and double sequences, and note some further suggestions. | Medine Yesilkayagil Feyzi Basar | 2018 | Analysis in Theory and Applications2018，34，3： | 0 |
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