Results 11 to 20 of about 2,282,369 (288)

Frames generated by double sequences in Hilbert spaces [PDF]

Mathematica Moravica, 2023
In this paper, we introduce frames generated by double sequences (d-frame) in Hilbert spaces and describe some of their properties. Furthermore, we discuss frame operators, alternate dual frames and stability for d-frames.
Biswas Narendra, Mehra Chetna, Joshi Mahesh C.   +2 more
doaj  

e-core of double sequences [PDF]

Acta Mathematica Hungarica, 2014
Boos, Leiger and Zeller [1,2] defined the concept of e-convergence. In this paper we introduce the concepts of e-limit superior and inferior for real double sequences and prove some fundamental properties of e-limit superior and inferior. In addition to these results we define e-core for double sequences. Also, we show that that if A is a nonnegative \(
Sever, Yurdal, Talo, Özer
openaire   +3 more sources

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

AIMS 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

Statistical relative uniform convergence of a double sequence of functions at a point and applications to approximation theory

Cumhuriyet Science Journal, 2021
In the present paper, we introduce a new kind of convergence, called the statistical relative uniform convergence, for a double sequence of functions at a point, where the relative uniform convergence of the set of the neighborhoods of the given point is
Sevda Yıldız
doaj   +1 more source

Sequence spaces M ( ϕ ) $M(\phi)$ and N ( ϕ ) $N(\phi)$ with application in clustering

Journal of Inequalities and Applications, 2017
Distance measures play a central role in evolving the clustering technique. Due to the rich mathematical background and natural implementation of l p $l_{p}$ distance measures, researchers were motivated to use them in almost every clustering process ...
Mohd Shoaib Khan, Badriah AS Alamri, M Mursaleen, QM Danish Lohani   +3 more
doaj   +1 more source

$E_1$-degeneration and $d'd''$-lemma [PDF]

, 2015
For a double complex $(A, d', d'')$, we show that if it satisfies the $d'd''$-lemma and the spectral sequence $\{E^{p, q}_r\}$ induced by $A$ does not degenerate at $E_0$, then it degenerates at $E_1$.
Chen, Tai-Wei, Ho, Chung-I, Teh, Jyh-Haur   +2 more
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Matrix transformations of double convergent sequences with powers [PDF]

Proceedings of the Estonian Academy of Sciences
In 1967, I. J. Maddox generalized the spaces c0, c, ℓ∞ by adding the powers pk (k ∈ ℕ) in the definitions of the spaces to the terms of elements of sequences (xk). Gökhan and Çolak in 2004–2006 defined the corresponding double sequence spaces
Maria Zeltser, Şeyda Sezgek
doaj   +1 more source

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

Double Sequences and Limits

Formalized Mathematics, 2013
Summary Double sequences are important extension of the ordinary notion of a sequence. In this article we formalized three types of limits of double sequences and the theory of these limits.
Endou, Noboru, Okazaki, Hiroyuki, Shidama, Yasunari   +2 more
openaire   +3 more sources

On the properties of the Dickey-Pantula test against fractional alternatives [PDF]

, 1997
The limit properties of the testing sequence underlying the Dickey-Pantula test for a double unit root in a time series are derived when the true data generating process is assumed to be nonstationary fractionally integrated ...
Dolado, Juan José, Mármol, Francesc
core   +5 more sources