Tripathy, B., Sen, M., Nath, S. (2015). Lacunary I-convergence in probabilistic n-normed space. test, 23(1), 90-94. doi: 10.1016/j.joems.2014.03.008
Binod Tripathy; Mausumi Sen; Soumitra Nath. "Lacunary I-convergence in probabilistic n-normed space". test, 23, 1, 2015, 90-94. doi: 10.1016/j.joems.2014.03.008
Tripathy, B., Sen, M., Nath, S. (2015). 'Lacunary I-convergence in probabilistic n-normed space', test, 23(1), pp. 90-94. doi: 10.1016/j.joems.2014.03.008
Tripathy, B., Sen, M., Nath, S. Lacunary I-convergence in probabilistic n-normed space. test, 2015; 23(1): 90-94. doi: 10.1016/j.joems.2014.03.008

Lacunary I-convergence in probabilistic n-normed space

Journal of the Egyptian Mathematical Society
Volume 23, Issue 1, 2015, Pages 90-94    PDF (439.92 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.03.008
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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