Beta operators with Jacobi weights
classification
🧮 math.CA
keywords
betaoperatorsdiscussionjacobiweightsalphaasymptoticbehavior
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We discuss Beta operators with Jacobi weights on $C[0,1]$ for $\alpha,\beta\geq-1$, thus including the discussion of three limiting cases. Emphasis is on the moments and their asymptotic behavior. Extended Voronovskaya-type results and a discussion concerning the over-iteration of the operators are included.
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