Lacunary statistical convergence of difference sequences of fractional order
dc.contributor.author | Aral, Nazım Deniz | |
dc.contributor.author | Et, Mikail | |
dc.date.accessioned | 2024-07-12T20:49:27Z | |
dc.date.available | 2024-07-12T20:49:27Z | |
dc.date.issued | 2019 | en_US |
dc.department | Fakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | The idea of statistical convergence was given by Zygmund [1] in the first edition of his monograph published in Warsaw in 1935. Over the years and under different names statistical convergence was discussed in the theory of Fourier analysis, Ergodic theory, Number theory, Measure theory, Trigonometric series, Turnpike theory and Banach spaces. In this study we introduce the concepts of ??- lacunary statistical convergence with the fractional order of ?, ? ? R and ??- lacunary strongly convergence with the fractional order of ?, ? ? R, and examine some properties of these sequence spaces. We also establish some connections between ??- lacunary strongly convergence of fractional order of ? and ?? -lacunary statistical convergence of fractional order of ? | en_US |
dc.identifier.citation | Aral, N. D. ve Et, M. (2019). Lacunary statistical convergence of difference sequences of fractional order. International Conference of Mathematical Sciences (ICMS 2019). s. 81. | en_US |
dc.identifier.endpage | 81 | en_US |
dc.identifier.isbn | 978-605-2124-29-1 | |
dc.identifier.startpage | 81 | en_US |
dc.identifier.uri | https://hdl.handle.net/20.500.12415/2173 | |
dc.language.iso | en | en_US |
dc.publisher | Maltepe Üniversitesi | en_US |
dc.relation.ispartof | International Conference of Mathematical Sciences (ICMS 2019) | en_US |
dc.relation.publicationcategory | Uluslararası Konferans Öğesi - Başka Kurum Yazarı | en_US |
dc.rights | CC0 1.0 Universal | * |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
dc.snmz | KY01538 | |
dc.subject | Difference sequence | en_US |
dc.subject | Statistical convergence | en_US |
dc.subject | Lacunary sequence | en_US |
dc.title | Lacunary statistical convergence of difference sequences of fractional order | en_US |
dc.type | Article | |
dspace.entity.type | Publication |