Results 11 to 20 of about 900,360 (262)

On Lacunary $\mathcal{I}_2^{\ast }$-Convergence and Lacunary $\mathcal{I}_2^{\ast }$-Cauchy Sequence

Communications in Advanced Mathematical Sciences, 2023
In the study conducted here, we have given some new concepts in summability. In this sense, firstly, we have given the concept of lacunary $\mathcal{I}_2^{\ast}$-convergence and we have investigated the relations between lacunary $\mathcal{I}_2 ...
Nimet Pancaroğlu Akın, Erdinç Dündar
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
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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

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.
Noboru Endou, Hiroyuki Okazaki, Yasunari Shidama   +2 more
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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  

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

On Some New Sequence Spaces and Statistical Convergence Methods for Double Sequences

Demonstratio Mathematica, 2014
In this paper, we introduce some new double sequence spaces with respect to an Orlicz function and define two new convergence methods related to the concepts of statistical convergence and lacunary statistical convergence for double sequences.
Belen Cemal, Yildirim Mustafa
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The Cesáro Core of Double Sequences [PDF]

Abstract and Applied Analysis, 2011
We have characterized a new type of core for double sequences, PC‐core, and determined the necessary and sufficient conditions on a four‐dimensional matrix A to yield PC‐core{Ax}⊆α(P‐core{x}) for all .
Kuddusi Kayaduman, Celal Çakan
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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