Some New Type of Generalized Difference Paranormed Sequence Spaces Defined by Sequence of Orlicz Functions Associated with Multiplier Sequences
نویسندگان
چکیده
In this article we introduce some new type of sequence spaces
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 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 کاملSome Vector Valued Multiplier Difference Sequence Spaces Defined by a Sequence of Orlicz Functions
In this article we introduce some new difference sequence spaces with a real 2-normed linear space as base space and which are defined using a sequence of Orlicz functions, a bounded sequence of positive real numbers and a sequence of non-zero reals as multiplier sequence. We show that these spaces are complete paranormed spaces when the base space is a 2-Banach space and investigate these spac...
متن کاملOn Some Generalized Difference Paranormed Sequence Spaces Associated with Multiplier Sequence Defined by Modulus Function
In this article we introduce the paranormed sequence spaces ( f ,Λ,∆m, p), c0( f ,Λ,∆m, p) and l∞( f ,Λ,∆m, p), associated with the multiplier sequence Λ = (λk), defined by a modulus function f . We study their different properties like solidness, symmetricity, completeness etc. and prove some inclusion results.
متن کاملTopological properties of some sequences defined over 2-normed spaces
The paper investigates some classes of real number sequences over 2-normed spaces defined by means of Orlicz functions, a bounded sequence of strictly positive real numbers, a multiplier and a normal paranormed sequence space. Relevant properties of such classes have been investigated. Moreover, relationships among different such classes of sequences have also been studied under various paramet...
متن کامل