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In this paper, we introduce and rigorously define a novel class of difference sequence spaces, denoted by w I (M , ∆ v u , r) α β , w 0 I (M , ∆ v u , r) α β ,   w ∞ I (M , ∆ v u , r) α β , and w ∞ (M , ∆ v u , r) α β . These spaces are constructed through the application of the concept of I -convergence of sequences, combined with a Musielak–Orlicz function of order (α ,   β) . The primary focus of our work is to thoroughly investigate the algebraic and topological properties of these defined sequence spaces. We explore their linearity, examine their structure within the framework of paranormed spaces, and analyze various other algebraic characteristics pertinent to these spaces. In addition, we examine the topological nature of these sequence spaces, identifying the conditions under which they exhibit specific topological properties. A significant part of our study is dedicated to examining the inclusion relationships between these sequence spaces, thereby providing a comprehensive understanding of how these spaces are interrelated. Our analysis contributes to the broader field of functional analysis and sequence space theory, offering new insights and potential applications of these advanced mathematical constructs. [ABSTRACT FROM AUTHOR]

In the present paper, we introduce new lacunary strong convergent vector-valued sequence spaces defined by fractional difference operator and Musielak-Orlicz function. We make an effort to study some topological properties and also prove some inclusion relations between these spaces. [ABSTRACT FROM AUTHOR]

In the present paper, we defined lacunary sequence spaces of fractional difference operator of order α , β over n -normed spaces via Musielak-Orlicz function M = I k . Our aim in this paper is to study some topological properties and inclusion relation between the spaces I − N α β A , M , u , θ , Δ γ , · , ⋯ , · 0 , I − N α β A , M , u , θ , Δ γ , · , ⋯ , · , and I − N α β A , M , u , θ , Δ γ , · , ⋯ , · ∞ . [ABSTRACT FROM AUTHOR]

The purpose of this paper is to introduce the difference sequence space ces(Bμ ∧, F, q) using sequence of modulus function F = (fi). We examine some topological properties of the space and also obtain some inclusion relations. [ABSTRACT FROM AUTHOR]

In this paper, we introduce some generalized entire sequence spaces and analytic sequence spaces defined by fractional difference operator and a sequence of modulus functions. We study some topological properties and give some inclusion relations among the spaces. [ABSTRACT FROM AUTHOR]

In the present paper, we introduce sequence spaces over n-normed spaces defined by a Musielak-Orlicz function M = (Mk) of order (α,β). We examine some topological properties and prove some inclusion relations between the resulting sequence spaces. [ABSTRACT FROM AUTHOR]

In this paper, we define some classes of double sequences over n-normed spaces by means of an Orlicz function. We study some relevant algebraic and topological properties. Further some inclusion relations among the classes are also examined. [ABSTRACT FROM AUTHOR]

In the present paper we introduce difference paranormed sequence spaces c0(M, Δmn, p, u, ||⋅,⋯,⋅), c(M, ;Δmn, p, u, ||⋅,⋯,⋅||) and l∞(M, Δmn, p, u, ||⋅,⋯,⋅||), defined by a Musielak-Orlicz function M = (Mk) over n-normed spaces. We also study some topological properties and some inclusion relations between these spaces. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to introduce new classes of generalized seminormed difference sequence spaces defined by a Musielak-Orlicz function. We also study some topological properties and prove some inclusion relations between resulting sequence spaces. [ABSTRACT FROM AUTHOR]

In the present paper we study some ideal convergent sequence spaces defined by a sequence of modulus functions in n-normed spaces and examine some topological properties and inclusion relations between these spaces. [ABSTRACT FROM AUTHOR]

In the present paper we introduce some new sequence spaces defined by a Musielak-Orlicz function on semi normed spaces. We make an effort to study some topological properties and inclusion relations between these spaces. The study of sequence spaces over n-normed spaces has also been initiated in this paper. [ABSTRACT FROM AUTHOR]

In this paper we characterize the boundedness, closed range, invertibility of the multiplication operators acting on sequence spaces wp(f) defined by a modulus function. We also make an efforts to study some properties of composition operators on these spaces. [ABSTRACT FROM AUTHOR]

In the present paper we introduce some sequence spaces over n-normed spaces defined by a Musielak-Orlicz function M = (Mk ). We also study some topological properties and prove some inclusion relations between these spaces. [ABSTRACT FROM AUTHOR]

In this paper we introduce some double sequence spaces of Fuzzy numbers defined by a sequence of Orlicz function M = (Mkl) and a multiplier function u = (ukl). We also make an efforts to prove some topological properties and inclusion relations between these spaces. [ABSTRACT FROM AUTHOR]

In the present paper we introduce the modular sequence spaces generated by Cesaro mean of order one over n-normed spaces. We also study several properties relevant to topological and algebraic structures of these spaces. [ABSTRACT FROM AUTHOR]

In this paper we introduce difference entire sequence spaces and difference analytic sequence spaces defined by a sequence of modulus function F = (ƒk) and study some topological properties and some inclusion relations between these spaces. We also make an effort to study some properties and inclusion relation between the spaces ⌈F (Δsm, u, p, q, ∥.,&#22EF;,.∥) and ΛF (Δsm, u, p, q, ∥.,&#22EF;, .∥;). [ABSTRACT FROM AUTHOR]

In the present paper we introduce some new double sequence spaces in n-normed spaces defined by a sequence of Orlicz functionM= (Mk,l) and also examined some properties of the resulting sequence spaces. [ABSTRACT FROM AUTHOR]

In the present paper we introduced some multiplier sequence spaces defined by a Musielak-Orlicz function M = (Mk) in n-normed spaces and examine some topological properties and some inclusion relation between the resulting sequence spaces. [ABSTRACT FROM AUTHOR]

In this paper we introduce some double sequence spaces of Fuzzy numbers defined by a sequence of Orlicz function 횳 = (Mkl) and a multiplier function u = (ukl). We also make an efforts to prove some topological properties and inclusion relations between these spaces. [ABSTRACT FROM AUTHOR]

In this paper we introduce new sequence spaces defined by an Orlicz function on a seminormed space. We also make an effort to study some topological properties and inclusion relation between resulting sequence spaces. [ABSTRACT FROM AUTHOR]