The ? ?2?I statistical convergence of real numbers over Musielak p-metric space

dc.authoridEsi, Ayhan/0000-0003-3137-3865
dc.authoridOzdemir, Mustafa Kemal/0000-0001-6798-1868
dc.authorwosidOzdemir, Mustafa Kemal/ABH-4421-2020
dc.authorwosidEsi, Ayhan/E-3731-2017
dc.authorwosidOzdemir, Mustafa Kemal/V-9245-2017
dc.contributor.authorOzdemir, M. Kemal
dc.contributor.authorNagarajan, Subramanian
dc.contributor.authorEsi, Ayhan
dc.date.accessioned2024-08-04T21:01:18Z
dc.date.available2024-08-04T21:01:18Z
dc.date.issued2017
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, we introduce the concepts of integral Gamma(2 lambda I) statistical convergence and strongly integral Gamma(2 lambda I) of real numbers. It is also shown that integral Gamma(2 lambda I) statistical convergence and strongly integral Gamma(2 lambda I) are equivalent for analytic sequences of real numbers. We introduce certain new double sequence spaces of integral Gamma(2 lambda I) of fuzzy real numbers defined by I - convergence using sequences of Musielak-Orlicz functions and also study some basic topological and algebraic properties of these spaces, investigate the inclusion relations between these spaces. (C) 2017 The Authors. Published by IASE. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).en_US
dc.description.sponsorshipApplied Mathematics and Information Sciences; Department of Science and Technology, Government of India under FIST program [SR/FST/MSI-107/2015]en_US
dc.description.sponsorshipThe authors are extremely grateful to the anonymous learned referee(s) for their keen reading, valuable suggestion and constructive comments for the improvement of the manuscript. The authors are thankful to the editor(s) and reviewers of Applied Mathematics and Information Sciences and also authors wish to thank the Department of Science and Technology, Government of India for the financial sanction towards this work under FIST program SR/FST/MSI-107/2015.en_US
dc.identifier.doi10.21833/ijaas.2017.05.018
dc.identifier.endpage108en_US
dc.identifier.issn2313-626X
dc.identifier.issn2313-3724
dc.identifier.issue5en_US
dc.identifier.startpage101en_US
dc.identifier.urihttps://doi.org/10.21833/ijaas.2017.05.018
dc.identifier.urihttps://hdl.handle.net/11616/104271
dc.identifier.volume4en_US
dc.identifier.wosWOS:000404789000018en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherInst Advanced Science Extensionen_US
dc.relation.ispartofInternational Journal of Advanced and Applied Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAnalytic sequenceen_US
dc.subjectMusielak - modulus functionen_US
dc.subjectP - metric spaceen_US
dc.subjectIdeal convergenten_US
dc.subjectFuzzy numberen_US
dc.subjectDe la Vallee-Poussin meanen_US
dc.titleThe ? ?2?I statistical convergence of real numbers over Musielak p-metric spaceen_US
dc.typeArticleen_US

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