Further results on I−limit superior and limit inferior

By B. K. Lahiri, Pratulananda Das. 2003

58 citations recorded by the source corpus.

In this paper we obtain (after the works of Demirci) some further properties of I−limit superior and I−limit inferior and obtain the I−analogue of Cauchy criterion of convergence of a sequence of real numbers.

View Paper: https://www.semanticscholar.org/paper/23316ec77c87b5365bbed30769027772593022ee

How researchers see this paper

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1. Pratulananda Das
2. Ekrem Savas
3. Sudip Kumar Pal
4. Debraj Ch
5. S. Dutta

Citations in the corpus

• ROUGH IDEAL CONVERGENCE (2013, background): “A lot of work has been done on ideal convergence since then as can be seen from [4, 5, 7, 12, 13, 14] where more references can be found.”
• Statistical convergence and ideal convergence for sequences of functions (2007, unknown): “A similar argument works in a general case (see [5,19], and also [16] where another method was used).”
• ON $I$-STATISTICALLY PRE-CAUCHY SEQUENCES (2014, background): “For the next theorem we first recall the following definition of I−limit inferior [11] (see also [20]).”