On a class of n-normed sequences related to $\ell_p$-space

Abstract

In this paper we introduce the class of n-normed sequences related to the p-absolutely summable sequence space. Some properties of this sequence space like solidness, symmetricity, convergence-free etc. are studied. We obtain some inclusion relations involving this sequence space.

Fuzzy real valued $$P$$ P -absolutely summable multiple sequences In Probabilistic Normed Spaces

“…Using the concept of fuzzy real numbers different types of fuzzy real valued sequences have been introduced and studied by Nuray and Savas [7], Tripathy and Baruah [10], Tripathy et al [11], Tripathy and Borgohain [12], [13], Tripathy and Debnath [14], Tripathy and Dutta [15], [16], Tripathy and Sarma [18], [20] and many others.…”

On generalized sequence spaces defined by modulus functions

“…Main theorems are applicable in the case if λ and Λ are strong summability domains of a non-negative matrix A = (a nk ). Some special cases of such spaces are considered, for example, in [1] - [4], [6] - [16], [19] - [25], [27], [28], [30], [31], [36], [38] - [41], [43], [45] and [48] - [51]). …”

“…(1 ≤ p < ∞) is the solid Banach space defined in [51] by means of a special non-decreasing sequence ψ = (ψ k ). Theorem 2 of [50] …”

Some Newly Defined Sequence Spaces Using Regular Matrix of Fibonacci Numbers

“…which is a sequence space (Altay, Basar and Mursaleen, 2006;Kara and Basarir, 2012;Mursaleen and Noman, 2010;Tripathy and Sen, 2002). (1) There exists M > 0 such that for every n = 1, 2, … the following inequality holds:…”