scholarly journals Nörlund Matrix Domain on Sequence Spaces of p-adic Numbers

2018 ◽  
Vol 3 (3) ◽  
Keyword(s):  
Sequence Spaces ◽  
Matrix Domain ◽  
Nörlund Matrix

scholarly journals On Domain of Nörlund Sequences

Mathematics ◽  
2018 ◽  
Vol 6 (11) ◽  
pp. 268 ◽  
Author(s):  
Kuddusi Kayaduman ◽  
Fevzi Yaşar
Keyword(s):  
Banach Space ◽  
Bounded Variation ◽  
Sequence Space ◽  
Convergent Series ◽  
Sequence Spaces ◽  
Matrix Transformations ◽  
Nörlund Matrix ◽  
Inclusion Relations ◽  
The Matrix ◽  
New Space

In 1978, the domain of the Nörlund matrix on the classical sequence spaces lp and l∞ was introduced by Wang, where 1 ≤ p < ∞. Tuğ and Başar studied the matrix domain of Nörlund mean on the sequence spaces f0 and f in 2016. Additionally, Tuğ defined and investigated a new sequence space as the domain of the Nörlund matrix on the space of bounded variation sequences in 2017. In this article, we defined new space and and examined the domain of the Nörlund mean on the bs and cs, which are bounded and convergent series, respectively. We also examined their inclusion relations. We defined the norms over them and investigated whether these new spaces provide conditions of Banach space. Finally, we determined their α­, β­, γ­duals, and characterized their matrix transformations on this space and into this space.

Some Double Sequence Spaces Generated by Four-Dimensional Pascal Matrix

2021 ◽  
Vol 09 (08) ◽  
Author(s):  
Ahmadu Kiltho ◽  
Keyword(s):  
Double Sequence ◽  
Sequence Spaces ◽  
Schauder Basis ◽  
Topological Properties ◽  
Matrix Domain ◽  
Double Sequence Spaces ◽  
Pascal Matrix

The purpose of this paper is to discover and examine a four-dimensional Pascal matrix domain on Pascal sequence spaces. We show that they are spaces and also establish their Schauder basis, topological properties, isomorphism and some inclusions.

scholarly journals Calculations on some sequence spaces

2004 ◽  
Vol 2004 (31) ◽  
pp. 1653-1670 ◽  
Author(s):  
Bruno de Malafosse
Keyword(s):  
Sequence Spaces ◽  
Infinite Matrix ◽  
Matrix Domain

We deal with space of sequences generalizing the well-known spacesw∞p(λ),c∞(λ,μ), replacing the operatorsC(λ)andΔ(μ)by their transposes. We get generalizations of results concerning the strong matrix domain of an infinite matrixA.

scholarly journals New matrix domain derived by the matrix product

Filomat ◽  
2016 ◽  
Vol 30 (5) ◽  
pp. 1233-1241
Author(s):  
Vatan Karakaya ◽  
Necip Imşek ◽  
Kadri Doğan
Keyword(s):  
Topological Structure ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Sequence Spaces ◽  
Matrix Transformation ◽  
Matrix Product ◽  
Difference Matrix ◽  
Matrix Domain ◽  
The Matrix ◽  
Necessary And Sufficient

In this work, we define new sequence spaces by using the matrix obtained by product of factorable matrix and generalized difference matrix of order m. Afterward, we investigate topological structure which are completeness, AK-property, AD-property. Also, we compute the ?-, ?- and ?- duals, and obtain bases for these sequence spaces. Finally we give necessary and sufficient conditions on matrix transformation between these new sequence spaces and c,??.

scholarly journals On the Zweier Sequence Spaces of Fuzzy Numbers

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Mehmet Şengönül
Keyword(s):  
Sequence Space ◽  
Fuzzy Numbers ◽  
Sequence Spaces ◽  
Matrix Domain ◽  
The Matrix ◽  
Limitation Method

It was given a prototype constructing a new sequence space of fuzzy numbers by means of the matrix domain of a particular limitation method. That is we have constructed the Zweier sequence spaces of fuzzy numbers[ℓ∞(F)]Zη,[c(F)]Zη, and[c0(F)]Zηconsisting of all sequencesu=(uk)such thatZηuin the spacesℓ∞(F),c(F), andc0(F), respectively. Also, we prove that[ℓ∞(F)]Zη,[c(F)]Zη, and[c0(F)]Zηare linearly isomorphic to the spacesℓ∞(F),c(F), andc0(F), respectively. Additionally, theα(r)-,β(r)-, andγ(r)-duals of the spaces[ℓ∞(F)]Zη,[c(F)]Zη, and[c0(F)]Zηhave been computed. Furthermore, two theorems concerning matrix map have been given.

Some Rate Sequence Spaces

2012 ◽  
Vol 2 (10) ◽  
pp. 1-5
Author(s):  
B.Sivaraman B.Sivaraman ◽  
◽  
K.Chandrasekhara Rao ◽  
K.Vairamanickam K.Vairamanickam
Keyword(s):  
Sequence Spaces

Ideal convergent sequence spaces of fuzzy star–shaped numbers

2021 ◽  
pp. 1-8
Author(s):  
Vakeel A. Khan ◽  
Umme Tuba ◽  
SK. Ashadul Rahama ◽  
Ayaz Ahmad
Keyword(s):  
Fuzzy Sets ◽  
Convergent Sequence ◽  
Sequence Spaces ◽  
Topological Properties ◽  
Natural Numbers

In 1990, Diamond [16] primarily established the base of fuzzy star–shaped sets, an extension of fuzzy sets and numerous of its properties. In this paper, we aim to generalize the convergence induced by an ideal defined on natural numbers ℕ , introduce new sequence spaces of fuzzy star–shaped numbers in ℝ n and examine various algebraic and topological properties of the new corresponding spaces as well. In support of our results, we provide several examples of these new resulting sequences.

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