A certain class of equi-statistical convergence in the sense of the deferred power-series method

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dc.contributor.authorSrivastava, Hari Mohan
dc.contributor.authorJena, Bidu Bhusan
dc.contributor.authorPaikray, Susanta Kumar
dc.date.accessioned2024-01-04T19:11:26Z
dc.date.available2024-01-04T19:11:26Z
dc.date.copyright2023en_US
dc.date.issued2023
dc.description.abstractIn this paper, we expose the ideas of point-wise statistical convergence, equi-statistical convergence and uniform statistical convergence in the sense of the deferred power-series method. We then propose a relation connecting them, which is followed by several illustrative examples. Moreover, as an application viewpoint, we establish an approximation theorem based upon our proposed method for equi-statistical convergence of sequences of positive linear operators. Finally, we estimate the equi-statistical rates of convergence for the effectiveness of the results presented in our study.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationSrivastava, H. M., Jena, B. B., & Paikray, S. K. (2023). A certain class of equi-statistical convergence in the sense of the deferred power-series method. Axioms, 12(10), 964. https://doi.org/10.3390/axioms12100964en_US
dc.identifier.urihttps://doi.org/10.3390/axioms12100964
dc.identifier.urihttp://hdl.handle.net/1828/15786
dc.language.isoenen_US
dc.publisherAxiomsen_US
dc.rightsAttribution 2.5 Canada*
dc.rights.urihttp://creativecommons.org/licenses/by/2.5/ca/*
dc.subjectstatistical convergence
dc.subjectdeferred power-series method
dc.subjectCesàro summability
dc.subjectKorovkin-type theorem
dc.subjectbernstein polynomials
dc.subjectrate of convergence
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleA certain class of equi-statistical convergence in the sense of the deferred power-series methoden_US
dc.typeArticleen_US

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