Lacunary Ideal Convergence in Probabilistic
Normed Space

Hazarika Bipan; Esi Ayhan

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779

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2023-03-07 10:59

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519.2+519.83+517.98 (1)

Probabilitate. Statistică matematică (80)

Cercetări operaționale (OR) teorii şi metode matematice (169)

Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243)

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

Lacunary Ideal Convergence in Probabilistic Normed Space

CZU: 519.2+519.83+517.98

Pag. 3-17

Hazarika Bipan¹, Esi Ayhan²

¹ Rajiv Gandhi University,
² Adiyaman University

Proiecte:

INTAS Marker-assisted breeding of new seedless grapevine varieties with resistance to stressful environmental conditions

Disponibil în IBN: 28 octombrie 2016

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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.

Cuvinte-cheie
Ideal convergence, probabilistic normed space, Ѳ-convergence.,

lacunary sequence

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