| On some difference sequence spaces defined by a sequence of Orlicz functions |
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| 作者姓名： | ASMA BEKTAS Cigdem |
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| 作者单位： | Department of Mathematics Firat University Elazig 23119 Turkey，Department of Mathematics Firat University Elazig 23119 Turkey |
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| 摘 要： | INTRODUCTION Let w be the set of all sequences of real or com- plex numbers and R∞, c and c0 be the sequence spaces of bounded, convergent and null sequences x=(xk), respectively. A sequence x∈R∞ is said to be almost convergent (Lorentz, 1948) if all Banach limits of x coincide. Lorentz (1948) proved that 1 c? = ??? x =( xk ) :linm 1n ∑kn= xk s exists, uniformly in s???. Maddox (1967; 1978) has defined x to be strongly almost convergent to a number L if 1 linm 1n ∑k n= xk s? L=0,…
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| 关 键 词： | 微分序列 Orlicz函数 收敛性 包含关系 |
| 收稿时间： | 2005-10-20 |
| 修稿时间： | 2006-07-15 |
On some difference sequence spaces defined by a sequence of Orlicz functions |
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| ASMA BEKTAS Cigdem.On some difference sequence spaces defined by a sequence of Orlicz functions[J].Journal of Zhejiang University Science,2006,7(12):2093-2096. |
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| Authors: | Çiğdem Asma Bektaş |
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| Institution: | (1) Department of Mathematics, Firat University, Elazig, 23119, Turkey |
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| Abstract: | The idea of difference sequence spaces was introduced in (K?zmaz, 1981) and this concept was generalized in (Et and Çolak, 1995). In this paper we define some difference sequence spaces by a sequence of Orlicz functions and establish some inclusion relations. |
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| Keywords: | Difference sequence Orlicz function Sequence of Orlicz functions Strongly almost convergent |
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