Statistical convergence of subsequences of a given sequence.
Mačaj, M., Šalát, T. (2001)
Mathematica Bohemica
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Mačaj, M., Šalát, T. (2001)
Mathematica Bohemica
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M. Dindoš, Tibor Šalát, Vladimír Toma (2003)
Czechoslovak Mathematical Journal
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In this paper we use the notion of statistical convergence of infinite series naturally introduced as the statistical convergence of the sequence of the partial sums of the series. We will discuss some questions related to the convergence of subseries of a given series.
Hüseyin Aktuğlu, Halil Gezer (2009)
Open Mathematics
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In this paper, the concept of lacunary equi-statistical convergence is introduced and it is shown that lacunary equi-statistical convergence lies between lacunary statistical pointwise and lacunary statistical uniform convergence. Inclusion relations between equi-statistical and lacunary equi-statistical convergence are investigated and it is proved that, under some conditions, lacunary equi-statistical convergence and equi-statistical convergence are equivalent to each other. A Korovkin...
Demirici, Kamil, Dirik, Fadime (2011)
Applied Mathematics E-Notes [electronic only]
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Mehmet Özarslan (2009)
Open Mathematics
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In this paper, we obtain some approximation theorems for k- positive linear operators defined on the space of analytical functions on the unit disc, via I-convergence. Some concluding remarks which includes A-statistical convergence are also given.
Zeager, Jeff (2000)
International Journal of Mathematics and Mathematical Sciences
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Kline, Jeannette (1995)
International Journal of Mathematics and Mathematical Sciences
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Sławomir Bugajski (2001)
Mathematica Slovaca
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