Statistical e-Convergence of Double Sequences and its Application to Korovkin-Type Approximation Theorem for Functions of Two Variables

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dc.contributor.authorSever, Y
dc.contributor.authorTalo, Ö
dc.date.accessioned2024-07-18T11:52:08Z
dc.date.available2024-07-18T11:52:08Z
dc.description.abstractIn this paper, we have introduced the concept of statistical e-convergence and proved some fundamental properties of statistical e-convergence. In addition, we have introduced strongly e-vertical bar C-10 vertical bar-summability and examined the relationship between statistical e-convergence and strongly e-vertical bar C-10 vertical bar-summability of double sequences. Finally, we investigate a Korovkin-type approximation theorem for double sequences of positive linear operators on the space of all continuous real-valued functions defined on any compact subset of the real two-dimensional space. Then we display an application which shows that our new result is stronger than its classical version.
dc.identifier.issn1028-6276
dc.identifier.other2364-1819
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/5373
dc.language.isoEnglish
dc.publisherSPRINGER INTERNATIONAL PUBLISHING AG
dc.subjectSUMMABILITY
dc.subjectOPERATORS
dc.subjectCORE
dc.titleStatistical e-Convergence of Double Sequences and its Application to Korovkin-Type Approximation Theorem for Functions of Two Variables
dc.typeArticle

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