A Link between Approximation Theory and Summability Methods via Four-Dimensional Infinite Matrices

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dc.contributor.authorSrivastava, H.M.
dc.contributor.authorAnsari, Khursheed J.
dc.contributor.authorÖzger, Faruk
dc.contributor.authorÖzger, Zeynep Ödemiş
dc.date.accessioned2021-08-17T23:19:45Z
dc.date.available2021-08-17T23:19:45Z
dc.date.copyright2021en_US
dc.date.issued2021
dc.description.abstractIn this study, we present a link between approximation theory and summability methods by constructing bivariate Bernstein-Kantorovich type operators on an extended domain with reparametrized knots. We use a statistical convergence type and power series method to obtain certain Korovkin type theorems, and we study certain rates of convergences related to these summability methods. Furthermore, we numerically analyze the theoretical results and provide some computer graphics to emphasize the importance of this study.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipThis research was funded by Deanship of Scientific Research at King Khalid University grant number R.G.P.1/195/42.en_US
dc.identifier.citationSrivastava, H. M., Ansari, K. J., Özger, F., Özger, Z. Ö. (2021). A Link between Approximation Theory and Summability Methods via Four-Dimesionial Infinite Matrices. Mathematics, 9(16), 1-15. https://doi.org/10.3390/math9161895.en_US
dc.identifier.urihttps://doi.org/10.3390/math9161895
dc.identifier.urihttp://hdl.handle.net/1828/13268
dc.language.isoenen_US
dc.publisherMathematicsen_US
dc.subjectfour dimensional matrixen_US
dc.subjectdouble sequenceen_US
dc.subjectpower series methoden_US
dc.subjectstatistical convergenceen_US
dc.subjectcomputer graphicsen_US
dc.subjecterror of approximationen_US
dc.titleA Link between Approximation Theory and Summability Methods via Four-Dimensional Infinite Matricesen_US
dc.typeArticleen_US

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