Characterization of Entire Sequences via Double Orlicz Space

Characterization of Entire Sequences via Double Orlicz Space

Throughout, w, Γ, and∧ denote the classes of all, entire, and analytic scalar-valued single sequences, respectively. We write w2 for the set of all complex sequences (xmn), where m,n ∈ N is the set of positive integers. Then, w2 is a linear space under the coordinatewise addition and scalar multiplication. Some initial works on double sequence spaces are found in Bromwich [1]. Later on, they we...

The Nörlund Orlicz Space of Double Entire Rate Sequences

Let Γ 2 π denote the space of all double entire rate sequences. Let Λ 2 π denote the space of all double analytic rate sequences. This paper is devoted to a study of the general properties of Nörlund double Orlicz space η Γ 2 f π of entire rate sequences and Nörlund double Orlicz space η Λ 2 f π of analytic rate sequences.

The Orlicz space of entire sequences

Nörlund Space of Double Entire Sequences

Let Γ2 denote the spaces of all double entire sequences. Let Λ2 denote the spaces of all double analytic sequences. This paper is devoted to a study of the general properties of Nörlund space of double entire sequences η ( Γπ ) , Γ2 and also study some of the properties of η ( Γπ ) and η ( Λπ )

On λ− Summable of Orlicz Space of Entire Sequences of Fuzzy Numbers

In this paper the concept of strongly (λM )p − Cesáro summability of a sequence of fuzzy numbers and strongly λM− statistically convergent sequences of fuzzy numbers is introduced. Keywords—Fuzzy numbers, statistical convergence, Orlicz space, entire sequence.