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

open access: yesMathematics, 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   +2 more sources

On a New Space of Double Sequences [PDF]

open access: yesJournal of Function Spaces and Applications, 2013
We introduce a new space of double sequences related to -absolute convergent double sequence space, combining an Orlicz function and an infinity double matrix. We study some properties of and obtain some inclusion relations involving .
Cenap Duyar, Oğuz Oğur
doaj   +2 more sources

On almost B-summable double sequence spaces [PDF]

open access: yesJournal of Inequalities and Applications, 2018
The concept of a four-dimensional generalized difference matrix and its domain on some double sequence spaces was recently introduced and studied by Tuğ and Başar (AIP Conference Proceedings, vol. 1759, 2016) and Tuğ (J. Inequal. Appl. 2017(1):149, 2017).
Orhan Tuğ
doaj   +3 more sources

A Study on Statistical Convergence of Triple Sequences in Intuitionistic Fuzzy Normed Space [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2022
S. Karkaus, K. Demirci, and O. Duman in 2008 studied the statistical convergence of a single sequence over Intuitionistic fuzzy normed space(\textbf{IFNS}). M. Mursaleen in 2009, generalized the above work for double sequences over IFNS.
Shailendra Pandit, Ayaz Ahmad
doaj   +1 more source

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

open access: yesArchivum 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

The Research of Sequence Shadowing Property and Regularly Recurrent Point on the Double Inverse Limit Space

open access: yesJournal of Function Spaces, 2022
According to the definition of sequence shadowing property and regularly recurrent point in the inverse limit space, we introduce the concept of sequence shadowing property and regularly recurrent point in the double inverse limit space and study their ...
Zhan jiang Ji
doaj   +1 more source

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

open access: yesProceedings 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

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

Pringsheim and statistical convergence for double sequences on L−fuzzy normed space

open access: yesAIMS Mathematics, 2021
In this paper, we study the concept of statistical convergence for double sequences on L−fuzzy normed spaces. Then we give a useful characterization on the statistical convergence of double sequences with respect to their convergence in the classical ...
Reha Yapalı , Utku Gürdal
doaj   +1 more source

On the double transfer and the f-invariant [PDF]

open access: yes, 2011
The purpose of this paper is to investigate an algebraic version of the double complex transfer, in particular the classes in the two-line of the Adams-Novikov spectral sequence which are the image of comodule primitives of the MU-homology of the product
Powell, Geoffrey
core   +3 more sources

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