Statistical Riemann and Lebesgue integrable sequence of functions with Korovkin-type approximation theorems

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dc.contributor.authorSrivastava, H.M.
dc.contributor.authorJena, Bidu Bhusan
dc.contributor.authorPaikray, Susanta Kumar
dc.date.accessioned2022-11-16T23:53:40Z
dc.date.available2022-11-16T23:53:40Z
dc.date.copyright2021en_US
dc.date.issued2021
dc.description.abstractIn this work we introduce and investigate the ideas of statistical Riemann integrability, statistical Riemann summability, statistical Lebesgue integrability and statistical Lebesgue summability via deferred weighted mean. We first establish some fundamental limit theorems connecting these beautiful and potentially useful notions. Furthermore, based upon our proposed techniques, we establish the Korovkin-type approximation theorems with algebraic test functions. Finally, we present two illustrative examples under the consideration of positive linear operators in association with the Bernstein polynomials to exhibit the effectiveness of our findings.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationSrivastava, H. M., Jena, B. B., & Paikray, S. K. (2021). “Statistical Riemann and Lebesgue integrable sequence of functions with Korovkin-type approximation theorems.” Axioms, 10(3), 229. https://doi.org/10.3390/axioms10030229en_US
dc.identifier.urihttps://doi.org/10.3390/axioms10030229
dc.identifier.urihttp://hdl.handle.net/1828/14476
dc.language.isoenen_US
dc.publisherAxiomsen_US
dc.subjectriemann integral
dc.subjectlebesgue integral
dc.subjectstatistical convergence
dc.subjectdeferred weighted mean
dc.subjectbanach space
dc.subjectpositive linear operators
dc.subjectbernstein polynomial
dc.subjectKorovkin-type approximation theorems
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleStatistical Riemann and Lebesgue integrable sequence of functions with Korovkin-type approximation theoremsen_US
dc.typeArticleen_US

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