Approximation Properties of an Extended Family of the Szász–Mirakjan Beta-Type Operators

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dc.contributor.authorSrivastava, H.M.
dc.contributor.authorIçöz, Gürhan
dc.contributor.authorÇekim, Bayram
dc.date.accessioned2019-11-21T20:08:45Z
dc.date.available2019-11-21T20:08:45Z
dc.date.copyright2019en_US
dc.date.issued2019
dc.description.abstractApproximation and some other basic properties of various linear and nonlinear operators are potentially useful in many different areas of researches in the mathematical, physical, and engineering sciences. Motivated essentially by this aspect of approximation theory, our present study systematically investigates the approximation and other associated properties of a class of the Szász-Mirakjan-type operators, which are introduced here by using an extension of the familiar Beta function. We propose to establish moments of these extended Szász-Mirakjan Beta-type operators and estimate various convergence results with the help of the second modulus of smoothness and the classical modulus of continuity. We also investigate convergence via functions which belong to the Lipschitz class. Finally, we prove a Voronovskaja-type approximation theorem for the extended Szász-Mirakjan Beta-type operators.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationSrivastava, H.M., Içöz, G. & Çekim, B. (2019). Approximation Properties of an Extended Family of the Szász–Mirakjan Beta-Type Operators. Axioms, 8(4), 111. https://doi.org/10.3390/axioms8040111en_US
dc.identifier.urihttp://dx.doi.org/10.3390/axioms8040111
dc.identifier.urihttp://hdl.handle.net/1828/11332
dc.language.isoenen_US
dc.publisherAxiomsen_US
dc.subjectgamma and beta functions
dc.subjectSzász-Mirakjan operators
dc.subjectSzász-Mirakjan Beta type operators
dc.subjectextended Gamma and Beta functions
dc.subjectconfluent hypergeometric function
dc.subjectModulus of smoothness
dc.subjectmodulus of continuity
dc.subjectLipschitz class
dc.subjectlocal approximation
dc.subjectVoronovskaja type approximation theorem
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleApproximation Properties of an Extended Family of the Szász–Mirakjan Beta-Type Operatorsen_US
dc.typeArticleen_US

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