Results 21 to 30 of about 896,312 (262)

A category theorem for double sequences

open access: yesApplied Mathematics Letters, 2011
AbstractThe goal of this paper is to present the following multidimensional category theorem for double sequences via four-dimensional matrix transformations. The set of second category double subsequences of the double sequence (sk,l) is summable by a four-dimensional RH-regular matrix A=(am,n,k,l) if and only if (sk,l) is P-convergent.
Patterson, Richard F., Savas, Ekrem
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

A novel sequence space related to L p $\mathcal{L}_{p}$ defined by Orlicz function with application in pattern recognition

open access: yesJournal of Inequalities and Applications, 2017
In the field of pattern recognition, clustering groups the data into different clusters on the basis of similarity among them. Many a time, the similarity level between data points is derived through a distance measure; so, a number of clustering ...
Mohd Shoaib Khan, QM Danish Lohani
doaj   +1 more source

KOROVKIN THEOREM VIA STATISTICAL e-MODULAR CONVERGENCE OF DOUBLE SEQUENCES

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018
In the present paper, we obtain an abstract version of the Korovkin type theorem via the concept of statistical e-convergence in modular spaces for double sequences of positive linear operators.
Sevda Yıldız
doaj   +1 more source

Double Path Networks for Sequence to Sequence Learning

open access: yesCoRR, 2018
Encoder-decoder based Sequence to Sequence learning (S2S) has made remarkable progress in recent years. Different network architectures have been used in the encoder/decoder. Among them, Convolutional Neural Networks (CNN) and Self Attention Networks (SAN) are the prominent ones. The two architectures achieve similar performances but use very different
Kaitao Song   +5 more
openaire   +3 more sources

Double sequence spaces characterized by lacunary sequences

open access: yesApplied Mathematics Letters, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Savaş, Ekrem, Patterson, Richard F.
openaire   +2 more sources

ν-wedge FDK-spaces [PDF]

open access: yesMathematica Moravica
The (weak) wedgeness for FK-spaces was first defined by Bennett in 1974. Then, some results of Bennett (1974) were improved by İnce (2002) and Daˇgadur (2004) for all (weak) wedge FK spaces.
Sezgek Şeyda, Dağadur İlhan
doaj   +1 more source

Approximation theorems using the method of $\mathcal{I}_{2}$-statistical convergence

open access: yesJournal of Amasya University the Institute of Sciences and Technology
In this study, we utilize the concept of $\mathcal{I}$-statistical convergence for double sequences to establish a general approximation theorem of Korovkin-type for double sequences of positive linear operators $(PLOs)$ mapping from $H_{\omega }\left( X\
Sevda Yıldız   +2 more
doaj   +1 more source

The strongly generalized double difference χ sequence spaces defined by a modulus - doi: 10.4025/actascitechnol.v35i4.16184

open access: yesActa Scientiarum: Technology, 2013
In this paper we introduce the strongly generalized difference sequence spaces of modulus function and is a non-negative four dimensional matrix of complex numbers and (pi(mn)) is a sequence of positive real numbers.
Subramanian Nagarajan, Umakanta Misra
doaj   +1 more source

Matrix Transformations of Double Convergent Sequences with Powers for the Pringsheim Convergence

open access: yesMathematics
In 2004–2006, the corresponding double sequence spaces were defined for the Pringsheim and the bounded Pringsheim convergence by Gokhan and Colak. In 2009, Colak and Mursaleen characterized some classes of matrix transformations transforming the space of
Maria Zeltser, Şeyda Sezgek
doaj   +1 more source

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