Double sequence spaces over n-normed spaces defined by a sequence of Orlicz functions
نویسندگان
چکیده
*Correspondence: [email protected] 2Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India Full list of author information is available at the end of the article Abstract In the present paper we introduce double sequence spacem2(M,A,φ ,p,‖·, . . . , ·‖) defined by a sequence of Orlicz functions over n-normed space. We examine some of its topological properties and establish some inclusion relations. MSC: 40A05; 46A45
منابع مشابه
On 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 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 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 Some Statistically Convergent Double Sequence Spaces Defined By Orlicz Functions
In this article we define different type of statistically convergent, statistically null and statistically bounded double sequence spaces on a semi-normed space by Orlicz functions. We study their different properties like solidness, denseness, symmetricity, completeness etc. We obtain some inclusion relations.
متن کاملSome New Double Sequence Spaces Defined by Orlicz Function in n-Normed Space
The aim of this paper is to introduce and study some new double sequence spaces with respect to an Orlicz function, and also some properties of the resulting sequence spaces were examined.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2014