2012
DOI: 10.1016/j.aml.2011.10.012
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A note on strong matrix summability via ideals

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Cited by 38 publications
(24 citation statements)
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“…The concepts of I and I * -convergence, two important generalizations of statistical convergence, were introduced and investigated by Kostyrko et al [6]. The ideas were based on the notion of ideal I of N. Subsequently, a lot of investigations have been done on ideal convergence (see [7][8][9][10][11][12][13][14][15][16][17] where many more references both on ideal as well as statistical convergence can be found). Very recently, ideals were used in a different way to generalize the notion of statistical convergence [18,19] and certain new and summability methods were introduced and their basic properties were investigated.…”
Section: Introductionmentioning
confidence: 99%
“…The concepts of I and I * -convergence, two important generalizations of statistical convergence, were introduced and investigated by Kostyrko et al [6]. The ideas were based on the notion of ideal I of N. Subsequently, a lot of investigations have been done on ideal convergence (see [7][8][9][10][11][12][13][14][15][16][17] where many more references both on ideal as well as statistical convergence can be found). Very recently, ideals were used in a different way to generalize the notion of statistical convergence [18,19] and certain new and summability methods were introduced and their basic properties were investigated.…”
Section: Introductionmentioning
confidence: 99%
“…Note that Iconvergence is an interesting generalization of statistical convergence. More investigations in this direction and more applications of ideals can be found in [36,37,38,39,40,41 ]. Before proceeding further, we should recall some notation on the ideal.…”
Section: I-double Statistical and I-double Lacunary Statistical Convementioning
confidence: 99%
“…The notion of I-convergence initially introduced by Kostyrko et al [6]. More investigations in this direction and more applications of ideals can be found in [18,19,20,30,31,32] where many important references can be found.…”
Section: Introductionmentioning
confidence: 99%