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SOME EULER SPACES OF DIFFERENCE SEQUENCES OF ORDER m 被引量:5
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作者 Harun Polat Feyzi Basar 《Acta Mathematica Scientia》 SCIE CSCD 2007年第2期254-266,共13页
Kizmaz [13] studied the difference sequence spaces ∞(A), c(A), and co(A). Several article dealt with the sets of sequences of m-th order difference of which are bounded, convergent, or convergent to zero. Alta... Kizmaz [13] studied the difference sequence spaces ∞(A), c(A), and co(A). Several article dealt with the sets of sequences of m-th order difference of which are bounded, convergent, or convergent to zero. Altay and Basar [5] and Altay, Basar, and Mursaleen [7] introduced the Euler sequence spaces e0^r, ec^r, and e∞^r, respectively. The main purpose of this article is to introduce the spaces e0^r△^(m)), ec^r△^(m)), and e∞^r△^(m))consisting of all sequences whose mth order differences are in the Euler spaces e0^r, ec^r, and e∞^r, respectively. Moreover, the authors give some topological properties and inclusion relations, and determine the α-, β-, and γ-duals of the spaces e0^r△^(m)), ec^r△^(m)), and e∞^r△^(m)), and the Schauder basis of the spaces e0^r△^(m)), ec^r△^(m)). The last section of the article is devoted to the characterization of some matrix mappings on the sequence space ec^r△^(m)). 展开更多
关键词 Difference sequence spaces of order m Schauder basis the α- β- and γ-duals matrix mappings
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CHARACTERIZATIONS OF COMPACT OPERATORS ON SOME EULER SPACES OF DIFFERENCE SEQUENCES OF ORDER m 被引量:2
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作者 Ivana Djolovi Eberhard Malkowsky 《Acta Mathematica Scientia》 SCIE CSCD 2011年第4期1465-1474,共10页
In the past, several authors studied spaces of m-th order difference sequences, among them, H.Polat and F.Basar ([17]) defined the Euler spaces of m-th order difference sequences e r 0 (△ ( m ) ), e r c (△ (... In the past, several authors studied spaces of m-th order difference sequences, among them, H.Polat and F.Basar ([17]) defined the Euler spaces of m-th order difference sequences e r 0 (△ ( m ) ), e r c (△ ( m ) ) and e r ∞ (△ ( m ) ) and characterized some classes of matrix transformations on them. In our paper, we add a new supplementary aspect to their research by characterizing classes of compact operators on those spaces. For that purpose, the spaces are treated as the matrix domains of a triangle in the classical sequence spaces c 0 , c and ∞ . The main tool for our characterizations is the Hausdorff measure of noncompactness. 展开更多
关键词 difference sequence spaces of order m matrix transformations compact operators Hausdorff measure of noncompactness
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Some New Fixed Point Theorems in Probabilistic Metric Spaces 被引量:14
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作者 朱传喜 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1995年第2期179-185,共7页
In this paper, we introduce the concept of the Z-M-PN space and obtain somenew fixed point theorems in probabilistic metric spaces Meanwhile,some famous fixedpoint theorems are generalized in probabilistic metric spac... In this paper, we introduce the concept of the Z-M-PN space and obtain somenew fixed point theorems in probabilistic metric spaces Meanwhile,some famous fixedpoint theorems are generalized in probabilistic metric spaces, such a.s fixed point theorem of Schauder, Guo's theorem and fixed point theorem of Petryshyn are generalized in Menger PN-space. And fixed point theorem of Altman is also generalized in the Z-M-PN space. 展开更多
关键词 topological degree. probabilistic metric spaces. operator.compact continuous operator. Z-m-PN space
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On <i>M</i>-Asymmetric Semi-Open Sets and Semicontinuous Multifunctions in Bitopological Spaces 被引量:2
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作者 Levy K. Matindih Edwin Moyo 《Advances in Pure Mathematics》 2021年第4期218-236,共19页
The purpose of this paper is to introduce the notions of <em>m</em>-asymmetric semiopen sets and <em>M</em>-asymmetric semicontinuous multifunctions defined between asymmetric sets satisfying c... The purpose of this paper is to introduce the notions of <em>m</em>-asymmetric semiopen sets and <em>M</em>-asymmetric semicontinuous multifunctions defined between asymmetric sets satisfying certain minimal conditions in the framework of bitopological spaces. Some new characterizations of <em>m</em>-asymmetric semiopen sets and <em>M</em>-asymmetric semicontinuous multifunctions will be investigated and several fundamental properties will be obtained. 展开更多
关键词 m-spaces m-Semiasymmetric Open and Closed Sets Upper and Lower m-Asymmetric Semicontinuous multifunction
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CONDITIONAL EXPECTATIONS AND MARTINGALES IN NONCOMMUTATIVE Lp-SPACES ASSOCIATED WITH CENTER-VALUED TRACES
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作者 Inomjon GANIEV Farrukh MUKHAMEDO V 《Acta Mathematica Scientia》 SCIE CSCD 2017年第4期1019-1032,共14页
In this paper we prove the existence of conditional expectations in the noncom- mutative Lp(M, Ф)-spaces associated with center-valued traces. Moreover, their description is also provided. As an application of the ... In this paper we prove the existence of conditional expectations in the noncom- mutative Lp(M, Ф)-spaces associated with center-valued traces. Moreover, their description is also provided. As an application of the obtained results, we establish the norm convergence of weighted averages of martingales in noncommutative Lp(M, Ф)-spaces. 展开更多
关键词 noncommutative Lp (m Ф)-space Banach-Kantorovich space measurable con-ditional expectation measurable bundle mARTINGALE
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Approximation Theorems of Bernstein-Durrmeyer Operators in L_M^(Ba) Spaces
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作者 SUN Zhi-ling 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第3期400-404,共5页
With the weighted modulus of smoothness as a metric,we prove the direct and the inverse theorems of approximation by Bernstein-Durrmeyer operators in LBa M spaces. Especially an approximation equivalent theorem of the... With the weighted modulus of smoothness as a metric,we prove the direct and the inverse theorems of approximation by Bernstein-Durrmeyer operators in LBa M spaces. Especially an approximation equivalent theorem of the operators is also obtained. 展开更多
关键词 LBa m spaces Bernstein-Durrmeyer operators smoothness modulus
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Some Results of Upper and Lower <i>M</i>-Asymmetric Irresolute Multifunctions in Bitopological Spaces 被引量:1
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作者 Levy K. Matindih Edwin Moyo +1 位作者 Davy K. Manyika Timothy Sinyangwe 《Advances in Pure Mathematics》 2021年第6期611-627,共17页
In this paper, we aim to introduce and study some basic properties of upper and lower <em>M</em>-asymmetric irresolute multifunctions defined between asymmetric sets in the realm of bitopological spaces wi... In this paper, we aim to introduce and study some basic properties of upper and lower <em>M</em>-asymmetric irresolute multifunctions defined between asymmetric sets in the realm of bitopological spaces with certain minimal structures as a generalization of irresolute functions deal to Crossley and Hildebrand <a href="#ref1">[1]</a> and upper and lower irresolute Multifunctions deal to Popa <a href="#ref2">[2]</a>. 展开更多
关键词 TiTj-Semiopen Sets m-space m-Asymmetric Semiopen and Semiclosed Sets Upper (Lower) Irresolute multifunctions and Upper (Lower) m-Asymmetric Irresolute multifunctions
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添加剂对5μm电解铜箔性能及形貌的影响
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作者 樊斌锋 韩田莉 +2 位作者 王庆福 彭肖林 裴晓哲 《中国有色冶金》 CAS 北大核心 2024年第2期63-68,共6页
电解铜箔因其具有强度高、延展性良好等优势被广泛应用于新能源领域,目前对于5μm电解铜箔性能的影响因素研究较少。本文采用单一变量法考察了PEG、HVP和HP等添加剂对Cu电沉积的影响,通过正交试验探究PEG、HVP和HP复合添加剂对5μm电解... 电解铜箔因其具有强度高、延展性良好等优势被广泛应用于新能源领域,目前对于5μm电解铜箔性能的影响因素研究较少。本文采用单一变量法考察了PEG、HVP和HP等添加剂对Cu电沉积的影响,通过正交试验探究PEG、HVP和HP复合添加剂对5μm电解铜箔性能的影响,并对比了不同添加剂对5μm电解铜箔外观形貌的影响,得到如下结论:PEG和HVP具有增强极化的作用,且随着浓度的增加极化作用增强,HP具有去极化的作用,且随着浓度的增加去极化作用增强;通过正交试验得出的最优复合添加剂的浓度为PEG 0.36 g/L、HVP 0.12 g/L、HP 0.05 g/L,在此条件下得到的较佳性能为抗拉强度485.17 MPa、延伸率3.72%、粗糙度1.31;相比于单一添加剂,最优配比复合添加剂下的复合镀层表面更加均匀平整,且颗粒细小。 展开更多
关键词 m电解铜箔 铜沉积 复合添加剂 聚乙二醇(PEG) 水解蛋白(HVP) 醇硫基丙烷磺酸钠(hp) 铜箔性能 微观形貌
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m-almost-metrization for APM spaces
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作者 刘建军 周忠群 《西南师范大学学报(自然科学版)》 CAS CSCD 1995年第4期352-355,共4页
m-almost-metrizationforAPMspacesLiuJianjun;ZhouZhongqun(DepartmentofMathematics,SouthwestChinaNormalUniversi... m-almost-metrizationforAPMspacesLiuJianjun;ZhouZhongqun(DepartmentofMathematics,SouthwestChinaNormalUniversity,Chongqing,6307... 展开更多
关键词 APm空间 m-n乎可度量化
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A SUBCLASS OF M1 -SPACES
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作者 吴利生 《苏州大学学报(自然科学版)》 CAS 1995年第2期1-4,共4页
In this paper,We defined M1^#-space,in some meaning,it is a dual concept of M1^#-space. We proved that Metrizable→M1^#→M1.
关键词 m1-空间 m1^*-空间 m1^#-空间 规则打开 规则关闭 可度量空间
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Some Characterizations of Hereditarily Indecomposable Banach Spaces
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作者 苏维钢 钟怀杰 《Northeastern Mathematical Journal》 CSCD 2005年第4期439-446,共8页
In this paper we first discuss the relations between some G-M-type spaces, and the previous eight kinds of G-M-type Banach spaces are merged into four different kinds. Then we build a Generalized Operator Extension Th... In this paper we first discuss the relations between some G-M-type spaces, and the previous eight kinds of G-M-type Banach spaces are merged into four different kinds. Then we build a Generalized Operator Extension Theorem, and introduce the concept of complete minimal sequences. Some sufficient and necessary conditions under which a Banach space is a hereditarily indecomposable space are given. Finally, we give some characterizations of hereditarily indecomposable Banach Spaces. 展开更多
关键词 Banach space hereditarily indecomposable complete minimal sequence m-basis
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LAVRENTIEV'S REGULARIZATION METHOD FOR NONLINEAR ILL-POSED EQUATIONS IN BANACH SPACES
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作者 Santhosh GEORGE C.D.SREEDEEP 《Acta Mathematica Scientia》 SCIE CSCD 2018年第1期303-314,共12页
In this paper, we deal with nonlinear ill-posed problems involving m-accretive mappings in Banach spaces. We consider a derivative and inverse free method for the imple- mentation of Lavrentiev regularization method. ... In this paper, we deal with nonlinear ill-posed problems involving m-accretive mappings in Banach spaces. We consider a derivative and inverse free method for the imple- mentation of Lavrentiev regularization method. Using general HSlder type source condition we obtain an optimal order error estimate. Also we consider the adaptive parameter choice strategy proposed by Pereverzev and Schock (2005) for choosing the regularization parameter. 展开更多
关键词 nonlinear ill-posed problem Banach space Lavrentiev regularization m-accretive mappings adaptive parameter choice strategy
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On M-Asymmetric Irresolute Multifunctions in Bitopological Spaces
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作者 Levy K. Matindih Peter J. Banda Danny Mukonda 《Advances in Pure Mathematics》 2022年第8期490-504,共15页
In this paper, our focus is to introduce and investigate a class of mappings called M-asymmetric irresolute multifunctions defined between bitopological structural sets satisfying certain minimal properties. M-asymmet... In this paper, our focus is to introduce and investigate a class of mappings called M-asymmetric irresolute multifunctions defined between bitopological structural sets satisfying certain minimal properties. M-asymmetric irresolute multifunctions are point-to-set mappings defined using M-asymmetric semiopen and semiclosed sets. Some relations between M-asymmetric semicontinuous multifunctions and M-asymmetric irresolute multifunctions are established. This notion of M-asymmetric irresolute multifunctions is analog to that of irresolute multifunctions in the general topological space and, upper and lower M-asymmetric irresolute multifunctions in minimal bitopological spaces, but mathematically behaves differently. 展开更多
关键词 Asymmetric-Semiopen Sets m-space m-Asymmetric Semiopen Sets Irresolute multifunctions Upper (Lower) m-Asymmetric Irresolute multifunctions m-Asymmetric Irresolute multifunctions
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Existence of Solutions for Generalized Sturm-Liouville m-point Boundary Value Problems in Banach Spaces
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作者 YANG Jing-bao WEI Zhong-li 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第2期265-269,共5页
由使用 strict-set-contraction 的定点定理,这份报纸在 Banach 空格建立概括 Sturm-Liouville m 点边界价值问题的一个答案或一个积极答案的存在。
关键词 Banach 空格 strict-set-contraction 的定点定理 STURm-LIOUVILLE n-pointt 边界价值问题 积极答案
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3M HP型透明敷料应用于PICC置管后的效果观察 被引量:1
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作者 覃慧敏 冯毕龙 《中国美容医学》 CAS 2012年第12X期495-495,共1页
目的:调查分析3M加强型(HP型)透明敷料对PICC固定处皮肤的保护作用。方法:选择2011年5月~2012年5月98例PICC置管患者,随机分为实验组50例和对照组48例,固定敷料实验组选用3M加强型透明敷料(HP型)。对照组选用选用3M普通透明敷料,敷料... 目的:调查分析3M加强型(HP型)透明敷料对PICC固定处皮肤的保护作用。方法:选择2011年5月~2012年5月98例PICC置管患者,随机分为实验组50例和对照组48例,固定敷料实验组选用3M加强型透明敷料(HP型)。对照组选用选用3M普通透明敷料,敷料实验组患者更换频率一般均为每周1次,对照组每周更换2次,观察两组患者穿刺点周围的皮肤反应情况,并调查患者自感舒适情况以及有无导管脱出现象。结果:实验组皮肤反应和导管脱出明显低于对照组,自我舒适感明显高于对照组。结论:PICC置管后应用3M加强型透明敷料固定,能够有效避免或减少患者不同程度的皮肤反应和预防导管脱落,较大提高患者的自觉舒适度。 展开更多
关键词 3m hp型透明敷料 PICC置管 固定
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断纸残篇中唤起瞬间诗意 评俞挺新作“M-Space”小美术馆 被引量:1
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作者 吴洪德 《时代建筑》 2016年第4期114-121,114,共8页
建筑师俞挺新近完成的"M-Space"小美术馆是对碎片化的外在环境和历史文脉的一次敏感的回应。对偶的设计思维促使他在美术馆、图书馆和博物馆三者之间采取不同的设计策略,并表现为纯粹、轻透的新建体量与复杂、矛盾的室内改造... 建筑师俞挺新近完成的"M-Space"小美术馆是对碎片化的外在环境和历史文脉的一次敏感的回应。对偶的设计思维促使他在美术馆、图书馆和博物馆三者之间采取不同的设计策略,并表现为纯粹、轻透的新建体量与复杂、矛盾的室内改造之间的对比。半透明表皮体现了江南意味的光影关系。建筑师对非形似熟悉感的追求使其将营造氛围放到了设计的首位。 展开更多
关键词 mspace”小美术馆 俞挺 对偶 光影 非形似的熟悉感
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HP-STMCs空间堆热管运行参数计算 被引量:6
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作者 李华琪 江新标 +5 位作者 陈立新 杨宁 马腾跃 张良 胡攀 朱磊 《现代应用物理》 2014年第2期154-160,共7页
利用自主开发的热管蒸汽流动计算程序SNPS-HPD对HP-STMCs堆堆芯锂热管和辐射散热器钾热管稳态运行时的性能参数进行了分析计算,得到了不同运行条件下锂热管和3类散热器钾热管内部蒸汽流动的压强、温度、速度和流动马赫数分布情况。结果... 利用自主开发的热管蒸汽流动计算程序SNPS-HPD对HP-STMCs堆堆芯锂热管和辐射散热器钾热管稳态运行时的性能参数进行了分析计算,得到了不同运行条件下锂热管和3类散热器钾热管内部蒸汽流动的压强、温度、速度和流动马赫数分布情况。结果表明:堆芯锂热管内部蒸汽压力和温度在蒸发段均有较大下降,在绝热段呈线性下降,而在冷凝段有一定的回升。锂热管温降主要为内部蒸汽的温降,且蒸汽温降随输出功率的增加而减小;蒸汽轴向马赫数在绝热段出口处达到最大,且随输出功率的增大而减小;辐射散热器钾热管具有良好的等温性,但热管绝热段的设计增加了热管蒸汽的温降,破坏了热管的等温性。 展开更多
关键词 hp.STmCs空间堆 SNPS-hpD 热管 蒸汽流动
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关于Chidume-Zegeye-Ntatin定理的注释
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作者 李小玲 曹寒问 《南昌大学学报(理科版)》 CAS 北大核心 2023年第4期323-327,共5页
带误差的Mann迭代及Ishikawa迭代一直众多学者关心的一个热点问题。本文中我们对Chidume-Zegeye-Ntatin定理进行探讨,具体工作如下:首先是定理中序列有界性的证明进行了改进;其次用更为简单的方法证明了该定理;最后所得结果推广和改进... 带误差的Mann迭代及Ishikawa迭代一直众多学者关心的一个热点问题。本文中我们对Chidume-Zegeye-Ntatin定理进行探讨,具体工作如下:首先是定理中序列有界性的证明进行了改进;其次用更为简单的方法证明了该定理;最后所得结果推广和改进了相关的结论。 展开更多
关键词 m-增生映射 广义最速下降逼近 一致凸空间 迭代程序
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CONVERGENCE OF DOUBLE WALSH-FOURIER SERIES AND HARDY SPACES 被引量:2
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作者 Ferenc Weisz ( Etvs L. Univrersity, Hungary) 《Analysis in Theory and Applications》 2001年第2期32-44,共13页
It is proved that the maximal operator of the Marczinkiewicz-Fejér meams of a double Walsh-Fourier series is bounded from the two-dimensional dyadic martingale Hardy space H p to L p (2/3<p<∞) and is of we... It is proved that the maximal operator of the Marczinkiewicz-Fejér meams of a double Walsh-Fourier series is bounded from the two-dimensional dyadic martingale Hardy space H p to L p (2/3<p<∞) and is of weak type (1,1). As a consequence we obtain that the Marczinkiewicz-Fejér means of a function f∈L 1 converge a.e. to the function in question. Moreover, we prove that these means are uniformly bounded on H p whenever 2/3<p<∞. Thus, in case f∈H p , the Marczinkiewicz-Fejér means conv f in H p norm. The same results are proved for the conjugate means, too. 展开更多
关键词 hp mATH CONVERGENCE OF DOUBLE WALSH-FOURIER SERIES AND HARDY spaces
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Darboux Transformations for Space-Like Isothermic Surfaces in R^m,1 被引量:4
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作者 ZUODa-Feng CHENQing CHENGYi 《Communications in Theoretical Physics》 SCIE CAS CSCD 2004年第6期816-820,共5页
In this paper, by using the G1,1 m,1-system, we study Darboux transformations for space-like isothermic surfaces in Minkowski space Rm'1, where G1,1 m,1=O(m+1,2)/O(m,1)×O(1,1).
关键词 Darboux转换 类空间等温表面 mINKOWSKI空间 标准变换 矩阵变换
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