Results 1 to 10 of about 56 (56)

Certain aspects of Nörlund ℐ-statistical convergence of sequences in neutrosophic normed spaces

open access: yesDemonstratio Mathematica, 2023
The aim of this article is to investigate the neutrosophic Nörlund ℐ-statistically convergent sequence space. We present some neutrosophic normed spaces (NNSs) in Nörlund convergent spaces.
Kişi Ömer   +2 more
doaj   +1 more source

Linear isomorphic spaces of fractional-order difference operators

open access: yesAlexandria Engineering Journal, 2021
In the present paper, we intend to make an approach to introduce and study the applications of fractional-order difference operators by generating Orlicz almost null and almost convergent sequence spaces.
S.A. Mohiuddine   +3 more
doaj   +1 more source

Upper bounds of some matrix operators on binomial and Orlicz-binomial double sequence spaces

open access: yesScientific African, 2022
In this article, we introduce binomial double sequence space bk(α,β;γ,δ) (1≤k≤∞) and Orlicz-binomial double sequence space bφ(α,β;γ,δ), and obtain certain inclusion results related to these spaces.
Taja Yaying, Bipan Hazarika
doaj   +1 more source

The ideal of Lipschitz classical p-compact operators and its injective hull

open access: yesMoroccan Journal of Pure and Applied Analysis, 2022
We introduce and investigate the injective hull of the strongly Lipschitz classical p-compact operator ideal defined between a pointed metric space and a Banach space.
Tiaiba Toufik, Achour Dahmane
doaj   +1 more source

On the Domain of Nörlund Matrix in the Space of Bounded Variation Sequences [PDF]

open access: yesEurasian Journal of Science and Engineering, 2017
In this paper, we introduce a new sequence space bv(Nt) as the domain of Nörlund matrix Nt in the space of all sequences of bounded variation. Firstly, we give some topological properties and inclusion relations. Moreover, we determine the α-, β- and γ-
Orhan Tug
doaj   +1 more source

Monotone ODE with Discontinuous Vector Fields in Sequence Spaces

open access: yes, 2022
We consider a system of ODE in a Fr\'echet space with unconditional Schauder basis. The right side of the ODE is a discontinuous function. Under certain monotonicity conditions we prove an existence theorem for the corresponding initial value problem ...
Oleg Zubelevich
core   +1 more source

A study on q-analogue of Catalan sequence spaces

open access: yes, 2023
In this study, we construct q-analog C(q) of Catalan matrix and study the sequence spaces c0 (C(q)) and c(C(q)) defined as the domain of q-Catalan matrix C(q) in the spaces c0 and c, respectively.
Merve Kara   +7 more
core   +1 more source

On topological properties of spaces obtained by the double band matrix

open access: yesOpen Mathematics, 2017
Let λ denote any one of the spaces ℓ∞ and ℓp and λ(Ť) be the domain of the band matrix Ť. We study ℓp(Ť) for 1 ≤ p ≤ ∞ and give some inclusions and its topological properties.
Zeren Suzan, Bektaş Çiğdem
doaj   +1 more source

Matrix mappings and norms on the absolute Cesàro and weighted spaces

open access: yes, 2020
In this paper, for α > -1 and k ≥ 1, we characterize the classes of all infinite matrices (|Cα|k, |Nup|), (|Cα|, |Nup|k), (|Nup|k, |Cα|) and (|Nup|k, |Cα|k), where the absolute spaces |Cα|k and |Nup|k are defined by Sarıgöl [22 - 24].
Güleç, Güllü Canan Hazar   +2 more
core   +1 more source

Some geometric properties of the metric space V[λ,p]

open access: yes, 2013
In this study, we consider the space [InlineEquation not available: see fulltext.] with an invariant metric. Then, we examine some geometric properties of the linear metric space [InlineEquation not available: see fulltext.] such as property ...
Mikail Et   +5 more
core   +1 more source

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