Ideal convergence characterization of the completion of linear <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>n</mml:mi></mml:math>-normed spaces

Şahiner, Ahmet; Gürdal, Mehmet; Yiğit, Tuba

doi:10.1016/j.camwa.2010.12.015

Cited by 18 publications

(10 citation statements)

References 22 publications

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“…yakınsama fikrini ortaya atmışlardır. Bu yönde daha fazla araştırma ve ideallerin daha fazla uygulaması [9,10,17,20,23,24] çalışmalarında bulunabilir.…”

Section: I-unclassified

Üçlü Diziler İçin Kuvvetli Lacunary I*-Yakınsaklık

2023

IJANSER

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“…yakınsama fikrini ortaya atmışlardır. Bu yönde daha fazla araştırma ve ideallerin daha fazla uygulaması [9,10,17,20,23,24] çalışmalarında bulunabilir.…”

Section: I-unclassified

Üçlü Diziler İçin Kuvvetli Lacunary I*-Yakınsaklık

2023

IJANSER

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“…Tripathy et al [8] introduced the concept of lacunary I-convergent sequences. A lot of development have been made about the statistical convergence and ideal convergence defined in different setups [9][10][11].…”

Section: Introduction and Definitionsmentioning

confidence: 99%

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

PANCAROĞLU AKIN,

DÜNDAR

2024

Mathematical Sciences and Applications E-Notes

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In this paper, we define the concepts of lacunary $\mathcal{I}^{\ast}$-convergence and strongly lacunary $\mathcal{I}^{\ast}$-convergence. We investigate the relations between strongly lacunary $\mathcal{I}$-convergence and strongly lacunary $\mathcal{I}^{\ast}$-convergence. Also, we define the concept of strongly lacunary $\mathcal{I}^{\ast}$-Cauchy sequence and investigate the relations between strongly lacunary $\mathcal{I}$-Cauchy sequence and strongly lacunary $\mathcal{I}^{\ast}$-Cauchy sequence.

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“…At the initial stage it was studied by Kostyrko et al [24]. Later on it was studied byŠalát et al [35] and Demirci [5] and others [2,12,13,15,17,23,32].…”

Section: Introductionmentioning

confidence: 99%