Displaying similar documents to “ -convergence and extremal -limit points”

Remarks on statistical and I -convergence of series

Jaroslav Červeňanský, Tibor Šalát, Vladimír Toma (2005)

Mathematica Bohemica

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In this paper we investigate the relationship between the statistical (or generally I -convergence) of a series and the usual convergence of its subseries. We also give a counterexample which shows that Theorem 1 of the paper by B. C. Tripathy “On statistically convergent series”, Punjab. Univ. J. Math. 32 (1999), 1–8, is not correct.

I and I * -convergence in topological spaces

Benoy Kumar Lahiri, Pratulananda Das (2005)

Mathematica Bohemica

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We extend the idea of I -convergence and I * -convergence of sequences to a topological space and derive several basic properties of these concepts in the topological space.