A Parametric Generalization of the Baskakov-Schurer-Szász-Stancu Approximation Operators

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dc.contributor.authorLatif Braha, Naim
dc.contributor.authorMansour, Toufik
dc.contributor.authorSrivastava, H.M.
dc.date.accessioned2021-06-03T20:34:28Z
dc.date.available2021-06-03T20:34:28Z
dc.date.copyright2021en_US
dc.date.issued2021
dc.description.abstractIn this paper, we introduce and investigate a new class of the parametric generalization of the Baskakov-Schurer-Szász-Stancu operators, which considerably extends the well-known class of the classical Baskakov-Schurer-Szász-Stancu approximation operators. For this new class of approximation operators, we present a Korovkin type theorem and a Grüss-Voronovskaya type theorem, and also study the rate of its convergence. Moreover, we derive several results which are related to the parametric generalization of the Baskakov-Schurer-Szász-Stancu operators in the weighted spaces. Finally, we prove some shape-preserving properties for the parametric generalization of the Baskakov- Schurer-Szász-Stancu operators and, as a special case, we deduce the corresponding shape-preserving properties for the classical Baskakov-Schurer-Szász-Stancu approximation operators.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationLatif Braha, N., Mansour, T., & Srivastava, H. M. (2021). A Parametric Generalization of the Baskakov-Schurer-Szász-Stancu Approximation Operators. Symmetry, 13(6), 1-24. https://doi.org/10.3390/sym13060980.en_US
dc.identifier.urihttps://doi.org/10.3390/sym13060980
dc.identifier.urihttp://hdl.handle.net/1828/13016
dc.language.isoenen_US
dc.publisherSymmetryen_US
dc.subjectapproximation operatorsen_US
dc.subjectparametric generalizationen_US
dc.subjectBaskakov-Schurer-Szász-Stancu operatorsen_US
dc.subjectKrovkin type theoremen_US
dc.subjectVoronovskaya type theoremen_US
dc.subjectrate of convergenceen_US
dc.subjectGrüss-Voronovskaya type theoremen_US
dc.subjectshape-preserving propertiesen_US
dc.titleA Parametric Generalization of the Baskakov-Schurer-Szász-Stancu Approximation Operatorsen_US
dc.typeArticleen_US

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