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Approximation properties of Szász-Mirakyan operators preserving exponential functions - MaRDI portal

Approximation properties of Szász-Mirakyan operators preserving exponential functions (Q2414033)

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Approximation properties of Szász-Mirakyan operators preserving exponential functions
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    Approximation properties of Szász-Mirakyan operators preserving exponential functions (English)
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    10 May 2019
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    This paper is a continuation of \textit{T. Acar} et al. [Mediterr. J. Math. 14, No. 1, Paper No. 6, 1--14 (2017; Zbl 1362.41005)], where Szász-Mirakyan operators preserving exponential functions are discussed. As a first result, the authors show that the sequence of the norms of the operators, acting on weighted spaces having different weights, is uniformly bounded. Korovkin-type approximation theorems through exponentially weighted convergence are shown. Uniform weighted approximation errors are studied for exponential weights. Finally, the authors provide a Voronovskaya type theorem for the derivative of the operators.
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    Szász-Mirakyan operators
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    weighted modulus of continuity
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    uniform convergence
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    Voronovskaya type theorem
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