Some new sequence spaces and almost convergence
نویسندگان
چکیده
منابع مشابه
Some Sequence Spaces and Almost Convergence
In this paper we investigate some new sequence spaces which naturally emerge from the concept of almost convergence. Just as ordinary, absolute and strong summability, it is expected that almost convergence must give rise to almost, absolutely almost and strongly almost summability. Almost and absolutely almost summable sequences have been discussed by several authors. The object of this paper ...
متن کاملSome Sequence Spaces and Statistical Convergence
for sets of sequences x = (xk) which are strongly (V ,λ)-summable to L, that is, xk → L[V,λ]. We recall that a modulus f is a function from [0,∞) to [0,∞) such that (i) f(x)= 0 if and only if x = 0; (ii) f(x+y)≤ f(x)+f(y) for all x, y ≥ 0; (iii) f is increasing; (iv) f is continuous from the right at 0. It follows that f must be continuous on [0,∞). A modulus may be bounded or unbounded. Maddox...
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The purpose of this paper is to introduce certain new sequence spaces using ideal convergence and an Orlicz function in 2-normed spaces and examine some of their properties.
متن کاملSome New Type of Difference Sequence Spaces Defined by Modulus Function and Statistical Convergence
In this article we introduce the difference sequence spacesW0[ f ,∆m],W1[ f ,∆m], W∞[ f ,∆m] and S[ f ,∆m], defined by a modulus function f . We obtain a relation between W1[ f ,∆m]∩ l∞[ f ,∆m] and S[ f ,∆m]∩ l∞[ f ,∆m] and prove some inclusion results.
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ژورنال
عنوان ژورنال: Filomat
سال: 2008
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil0802059g