Inclusions Between the Spaces of Strongly Almost Convergent Sequences Defined by An Orlicz Function in A Seminormed Space
نویسندگان
چکیده
The concept of strong almost convergence was introduced by Maddox in 1978 [Math. Proc. Camb. Philos. Soc., 83 (1978), 61-64] which has various applications. In this paper we introduce some new sequence spaces which arise from the notions of strong almost convergence and an Orlicz function in a seminormed space. A new concept of uniform statistical convergence in a seminormed space has also been introduced.
منابع مشابه
Strongly almost ideal convergent sequences in a locally convex space defined by Musielak-Orlicz function
In this article, we introduce a new class of ideal convergent sequence spaces using an infinite matrix, Musielak-Orlicz function and a new generalized difference matrix in locally convex spaces. We investigate some linear topological structures and algebraic properties of these spaces. We also give some relations related to these sequence spaces.
متن کاملStrongly $[V_{2}, lambda_{2}, M, p]-$ summable double sequence spaces defined by orlicz function
In this paper we introduce strongly $left[ V_{2},lambda_{2},M,pright]-$summable double vsequence spaces via Orlicz function and examine someproperties of the resulting these spaces. Also we give natural relationshipbetween these spaces and $S_{lambda_{2}}-$statistical convergence.
متن کاملOn difference sequence spaces defined by Orlicz functions without convexity
In this paper, we first define spaces of single difference sequences defined by a sequence of Orlicz functions without convexity and investigate their properties. Then we extend this idea to spaces of double sequences and present a new matrix theoretic approach construction of such double sequence spaces.
متن کامل$(A)_ {Delta}$ - double Sequence Spaces of fuzzy numbers via Orlicz Function
The aim of this paper is to introduce and study a new concept ofstrong double $(A)_ {Delta}$-convergent sequence offuzzy numbers with respect to an Orlicz function and also someproperties of the resulting sequence spaces of fuzzy numbers areexamined. In addition, we define the double$(A,Delta)$-statistical convergence of fuzzy numbers andestablish some connections between the spaces of stron...
متن کاملOn Interval Valued Generalized Difference Classes Defined by Orlicz Function
The work of interval arithmetic was originally introduced by Dwyer [3] in 1951. The development of interval arithmetic as a formal system and evidence of its value as a computational device was provided by Moore [15] and Moore and Yang [16]. Furthermore, Moore and others [3]; [4]; [10] and [17] have developed applications to differential equations. Chiao in [2] introduced sequence of interval n...
متن کامل