Lacunary I-convergence in probabilistic n-normed space | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 23, Issue 1, 2015, Page 90-94 PDF (439.92 K) | ||||
Document Type: Original Article | ||||
DOI: 10.1016/j.joems.2014.03.008 | ||||
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Authors | ||||
Binod Tripathy* 1; Mausumi Sen2; Soumitra Nath3 | ||||
1a Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Paschim Boragaon, Garchuk, Guwahati 781 035, Assam, India | ||||
2National Institute of Technology, Silchar 788 010, Assam, India | ||||
3c Silchar Polytechnic, Silchar 788 015, Assam, India | ||||
Abstract | ||||
In this article using the concept of ideal and lacunary sequence we introduce the concept of lacunary I-convergent, lacunary I-Cauchy and lacunary I -convergent sequences in probabilistic n-normed space.We obtain some results related to these concepts. Also the concept of lacunary refinement of a lacunary sequence is discussed in probabilistic n-normed space. | ||||
Keywords | ||||
Ideal; I-Convergent; I-Cauchy; Probabilistic n-normed spaces; Lacunary sequence | ||||
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