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SM ISO690:2012 HAZARIKA, Bipan, ESI, Ayhan. Lacunary Ideal Convergence in Probabilistic
Normed Space. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2016, nr. 2(81), pp. 3-17. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | |||||||
Numărul 2(81) / 2016 / ISSN 1024-7696 /ISSNe 2587-4322 | |||||||
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CZU: 519.2+519.83+517.98 | |||||||
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The aim of this paper is to study the notion of lacunary I-convergence in probabilistic normed spaces as a variant of the notion of ideal convergence. Also lacunary I-limit points and lacunary I-cluster points have been defined and the relation between them has been established. Furthermore, lacunary Cauchy and lacunary I-Cauchy sequences are introduced and studied. Finally, we provided example which shows that our method of convergence in probabilistic normed spaces is more general. |
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Cuvinte-cheie Ideal convergence, probabilistic normed space, Ѳ-convergence., lacunary sequence |
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