Results 11 to 20 of about 31,082 (250)

On the Double Sequence Space Hϑ as an Extension of Hahn Space h

International Journal of Mathematics and Mathematical Sciences
Double sequence spaces have become a significant area of research within functional analysis due to their applications in various branches of mathematics and mathematical physics.
Orhan Tuǧ, Eberhard Malkowsky, Vladimir Rakoćević, Taja Yaying   +3 more
doaj   +2 more sources

Double sequence spaces defined by a modulus

Mathematica Slovaca, 2011
Abstract This paper begins with new definitions for double sequence spaces. These new definitions are constructed, in general, by combining modulus function and nonnegative four-dimensional matrix. We use these definitions to establish inclusion theorems between various sequence spaces such as: If A = (a m,n,k ...
Ekrem Savas, Richard F Patterson
exaly   +2 more sources

Some σ-double sequence spaces defined by Orlicz function

Journal of Mathematical Analysis and Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ekrem Savas, Richard F Patterson
exaly   +3 more sources

F-seminorms on generalized double sequence spaces defined by modulus functions; pp. 121–132 [PDF]

Proceedings of the Estonian Academy of Sciences, 2014
Using a double sequence of modulus functions and a solid double scalar sequence space, we determine F-seminorm and F-norm topologies for certain generalized linear spaces of double sequences.
Enno Kolk, Annemai Raidjõe
doaj   +1 more source

The Hilbert Space of Double Fourier Coefficients for an Abstract Wiener Space

Mathematics, 2021
Fourier series is a well-established subject and widely applied in various fields. However, there is much less work on double Fourier coefficients in relation to spaces of general double sequences.
Jeong-Gyoo Kim
doaj   +1 more source

A New RH-Regular Matrix Derived by Jordan’s Function and Its Domains on Some Double Sequence Spaces

Journal of Function Spaces, 2021
In the present study, we introduce a new RH-regular 4D (4-dimensional) matrix derived by Jordan’s function and define double sequence spaces by using domains of 4D Jordan totient matrix Jt on some classical double sequence spaces.
Sezer Erdem, Serkan Demiriz
doaj   +1 more source

Rough statistical convergence of double sequences in intuitionistic fuzzy normed spaces

Journal of New Results in Science, 2022
This paper proposes rough convergence and rough statistical convergence of a double sequence in intuitionistic fuzzy normed spaces. It then defines the rough statistical limit points and rough statistical cluster points of a double sequence in these ...
Aykut Or, Ahmet Özcan
doaj   +1 more source

Double sequence spaces over $n$-normed spaces [PDF]

Archivum Mathematicum, 2014
The authors introduce some new classes of double sequences over \(n\)-normed spaces defined using an Orliz function and study their algebraic and topological properties. Various inclusions between these classes are also investigated.
Raj, Kuldip, Sharma, Sunil K.
openaire   +2 more sources

Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces

Journal of New Theory, 2023
Statistical convergence has been a prominent research area in mathematics since this concept was independently introduced by Fast and Steinhaus in 1951.
Sevcan Bulut, Gökay Karabacak, Aykut Or, Ahmet Özcan   +3 more
doaj   +1 more source

Almost and Strongly Almost B(r ̃,s ̃,t ̃,u ̃)- Summable Double Sequences

Eurasian Journal of Science and Engineering, 2021
In this paper, we define some new almost and strongly almost convergent double sequence spaces B ̃(C_f), B ̃(C_f0), B ̃[C_f] and B ̃[C_f0] derived by the domain of four-dimensional sequential band matrix B(r ̃,s ̃,t ̃,u ̃) in the spaces C_f, C_f0 , [C_f]
Orhan Tuğ
doaj   +1 more source