New Definitions about A(I)-Statistical Convergence with Respect to a Sequence of Modulus Functions and Lacunary Sequences

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dc.contributor.authorKişi, Ömer
dc.contributor.authorGümüş, Hafize
dc.contributor.authorSavaş, Ekrem
dc.date.accessioned2020-11-21T15:55:55Z
dc.date.available2020-11-21T15:55:55Z
dc.date.issued2018en_US
dc.departmentİstanbul Ticaret Üniversitesien_US
dc.description.abstractIn this paper, using an infinite matrix of complex numbers, a modulus function and a lacunary sequence, we generalize the concept of I-statistical convergence, which is a recently introduced summability method. The names of our new methods are A(I)-lacunary statistical convergence and strongly A(I)-lacunary convergence with respect to a sequence of modulus functions. These spaces are denoted by S-theta(A)(I, F) and N-theta(A)(I, F), respectively. We give some inclusion relations between S-theta(A) (I, F), S-theta(A) (I, F) and N-theta(A) (I, F). We also investigate Cesaro summability for A(I) and we obtain some basic results between A(I)-Cesaro summability, strongly A(I)-Cesaro summability and the spaces mentioned above.en_US
dc.identifier.doi10.3390/axioms7020024en_US
dc.identifier.issn2075-1680
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85046625601en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.3390/axioms7020024
dc.identifier.urihttps://hdl.handle.net/11467/4067
dc.identifier.volume7en_US
dc.identifier.wosWOS:000436499300005en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofAxiomsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectlacunary sequenceen_US
dc.subjectstatistical convergenceen_US
dc.subjectideal convergenceen_US
dc.subjectmodulus functionen_US
dc.subjectI-statistical convergenceen_US
dc.titleNew Definitions about A(I)-Statistical Convergence with Respect to a Sequence of Modulus Functions and Lacunary Sequencesen_US
dc.typeArticleen_US

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